refactor: golf Physlib proofs — proof-body only, no new declarations (~−4,390 lines, 109 files)#1263
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jstoobysmith merged 129 commits intoJun 29, 2026
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Add `conj_row_dotProduct_row`, the entrywise orthonormality of the rows of a CKM (unitary) matrix (`∑ₖ conj (Vᵢₖ) * Vⱼₖ = δᵢⱼ`), and use it to replace the nine near-identical ~8-line proofs of `uRow_normalized`, `cRow_normalized`, `tRow_normalized`, `uRow_cRow_orthog`, `uRow_tRow_orthog`, `cRow_uRow_orthog`, `cRow_tRow_orthog`, `tRow_uRow_orthog`, `tRow_cRow_orthog` with one-line specializations. Statements are unchanged; net -54 lines. Co-authored-by: Claude Opus 4.8 <no-reply+claude-opus-4-8@anthropic.com> Co-Authored-By: Claude Opus 4.8 (1M context) <noreply@anthropic.com> Claude-Session: https://claude.ai/code/session_01PA9j1z8zhVsdFWKQPf2tRZ
Replace the three-way `fin_cases i` case split closing with `exact h0/h1/h2` by `fin_cases i <;> assumption`. Statement unchanged. Co-authored-by: Claude Opus 4.8 <no-reply+claude-opus-4-8@anthropic.com> Co-Authored-By: Claude Opus 4.8 (1M context) <noreply@anthropic.com> Claude-Session: https://claude.ai/code/session_01PA9j1z8zhVsdFWKQPf2tRZ
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Add `phaseShiftApply_apply`, the general `(i, j)` entry of a phase-shifted CKM matrix, and use it to replace the nine near-identical ~11-line component proofs `ud`, `us`, `ub`, `cd`, `cs`, `cb`, `td`, `ts`, `tb` with two-line proofs. Statements are unchanged. Co-authored-by: Claude Opus 4.8 <no-reply+claude-opus-4-8@anthropic.com> Co-Authored-By: Claude Opus 4.8 (1M context) <noreply@anthropic.com> Claude-Session: https://claude.ai/code/session_01PA9j1z8zhVsdFWKQPf2tRZ
…lemma Add `cexp_phase_mul_eq_norm` (`cexp ((p + q) I) * z = ‖z‖` when `p + q = -arg z`) and use it, together with the `phaseShiftApply.*` entry lemmas, to replace the six near-identical ~12-line proofs `shift_ud_phase_zero`, `shift_us_phase_zero`, `shift_ub_phase_zero`, `shift_cs_phase_zero`, `shift_cb_phase_zero`, `shift_tb_phase_zero` with two-line proofs. Statements unchanged. Co-authored-by: Claude Opus 4.8 <no-reply+claude-opus-4-8@anthropic.com> Co-Authored-By: Claude Opus 4.8 (1M context) <noreply@anthropic.com> Claude-Session: https://claude.ai/code/session_01PA9j1z8zhVsdFWKQPf2tRZ
Add `npow_proj` (an additive, `1`-vanishing dimension exponent respects powers) and use it to replace the five identical inductions `npow_length`, `npow_time`, `npow_mass`, `npow_charge`, `npow_temperature` with one-line proofs. Statements unchanged. Co-authored-by: Claude Opus 4.8 <no-reply+claude-opus-4-8@anthropic.com> Co-Authored-By: Claude Opus 4.8 (1M context) <noreply@anthropic.com> Claude-Session: https://claude.ai/code/session_01PA9j1z8zhVsdFWKQPf2tRZ
Add `div_proj` (an additive, inverse-negating dimension exponent respects division) and use it to replace the five identical proofs `div_length`, `div_time`, `div_mass`, `div_charge`, `div_temperature` with one-line proofs. Statements unchanged. Co-authored-by: Claude Opus 4.8 <no-reply+claude-opus-4-8@anthropic.com> Co-Authored-By: Claude Opus 4.8 (1M context) <noreply@anthropic.com> Claude-Session: https://claude.ai/code/session_01PA9j1z8zhVsdFWKQPf2tRZ
Add `tensorBasis_toMatrix_symm_expand`, the expansion of the inverse of the canonical `tensorProduct`-basis-to-matrix equivalence, and use it to replace the ten near-identical proofs `leftLeftToMatrix_symm_expand_tmul`, ..., `leftRightToMatrix_symm_expand_tmul` with one-line specializations (each is definitionally an instance of the helper). Statements unchanged. Co-authored-by: Claude Opus 4.8 <no-reply+claude-opus-4-8@anthropic.com> Co-Authored-By: Claude Opus 4.8 (1M context) <noreply@anthropic.com> Claude-Session: https://claude.ai/code/session_01PA9j1z8zhVsdFWKQPf2tRZ
Add `sum_filter_neg_lt` (a multiset of integers with a negative element has a negative-part sum < 0) and use it, together with Mathlib's `Multiset.single_le_sum` and the `numChiral*_eq_sum_sub_numAntiChiral*` lemmas, to golf the fifteen `chiralIndicesOf*_noneg/_sum_eq_three/_le_three_of_noExotics` proofs (each from ~12-28 lines to ~3). Statements unchanged. Co-authored-by: Claude Opus 4.8 <no-reply+claude-opus-4-8@anthropic.com> Co-Authored-By: Claude Opus 4.8 (1M context) <noreply@anthropic.com> Claude-Session: https://claude.ai/code/session_01PA9j1z8zhVsdFWKQPf2tRZ
Co-authored-by: Claude Opus 4.8 <no-reply+claude-opus-4-8@anthropic.com> Co-Authored-By: Claude Opus 4.8 (1M context) <noreply@anthropic.com> Claude-Session: https://claude.ai/code/session_01PA9j1z8zhVsdFWKQPf2tRZ
…red lemma Add `tensorBasis_toMatrix_symm_expand` (complex) and `tensorBasis_toMatrixRe_symm_expand` (real) — the expansion of the inverse of the canonical tensorProduct-basis-to-matrix equivalence — and use them to replace the four `*ToMatrix_symm_expand_tmul` proofs in `ComplexTensor/Matrix/Pre.lean` and the four `*ToMatrixRe_symm_expand_tmul` proofs in `RealTensor/Matrix/Pre.lean` with one-line specializations. Statements unchanged. (Same shape as the helper already added in `ComplexTensor/Weyl/Two.lean`; could be hoisted to a shared file in a follow-up.) Co-authored-by: Claude Opus 4.8 <no-reply+claude-opus-4-8@anthropic.com> Co-Authored-By: Claude Opus 4.8 (1M context) <noreply@anthropic.com> Claude-Session: https://claude.ai/code/session_01PA9j1z8zhVsdFWKQPf2tRZ
Add `submultiset_sum_le_three` (a sub-multiset of nonnegative integers summing to 3 has sum ≤ 3) and use it with `Multiset.map_le_map` and the existing noneg/sum-of-three lemmas to replace the five `chiralIndicesOf*_subset_sum_le_three_of_noExotics` proofs with term-mode one-liners. Statements unchanged. Co-authored-by: Claude Opus 4.8 <no-reply+claude-opus-4-8@anthropic.com> Co-Authored-By: Claude Opus 4.8 (1M context) <noreply@anthropic.com> Claude-Session: https://claude.ai/code/session_01PA9j1z8zhVsdFWKQPf2tRZ
Replace the eight explicit `match`-on-`ChargeSpectrum` proofs (`ofPotentialTerm'_μ_finset`, `_β_finset`, `_W2_finset`, `_W3_finset`, `_W4_finset`, `_K2_finset`, `_topYukawa_finset`, `_bottomYukawa_finset`) with a single `rcases x with ⟨_ | qHd, _ | qHu, Q5, Q10⟩ <;> simp [ofPotentialTerm']`. Statements unchanged. Co-authored-by: Claude Opus 4.8 <no-reply+claude-opus-4-8@anthropic.com> Co-Authored-By: Claude Opus 4.8 (1M context) <noreply@anthropic.com> Claude-Session: https://claude.ai/code/session_01PA9j1z8zhVsdFWKQPf2tRZ
Collapse the five near-identical numChiral{D,L,Q,U,E}_eq_sum_sub_numAntiChiral
proofs into one private helper `sum_filter_nonneg_eq_sum_sub` on `Multiset ℤ`
(sum of nonnegative part = total sum − sum of negative part), with each lemma a
one-line application.
Co-authored-by: Claude Opus 4.8 <no-reply+claude-opus-4-8@anthropic.com>
Replace the three identical 8-line constructor proofs of
isDimensionallyCorrect_fun_{iff,left,right} with `simp only
[IsDimensionallyCorrect, funext_iff]; rfl`, since each iff is just the
function-extensionality unfolding of `IsDimensionallyCorrect`.
Co-authored-by: Claude Opus 4.8 <no-reply+claude-opus-4-8@anthropic.com>
Replace the repeated ~6-line `simp only [...]` numeral/Fin normalization list in each of the seven Bᵢ_cubic lemmas with a short `simp [Bᵢ, ...]` that lets the default simp set handle the arithmetic, keeping only the structural reduction lemmas. Behaviour and the `backward.isDefEq.respectTransparency` guards are preserved. Co-authored-by: Claude Opus 4.8 <no-reply+claude-opus-4-8@anthropic.com>
Extract a private helper `γ_sq_mul_det` for the Lorentz-factor identity `(γβ)² − (γβ)²β² = 1` and use `linear_combination` to replace duplicated `ring_nf`/`field_simp` blocks in `boost`; collapse the eight `boost_zero_*` lemmas to one-line term proofs; simplify `boost_inverse` and `boost_transpose_eq_self` dispatch. Co-authored-by: Claude Opus 4.8 <no-reply+claude-opus-4-8@anthropic.com>
Extract the duplicated 23-line "a time-fixing Lorentz transform is block-diagonal" argument into a private helper `fromBlocks_spatial_eq`, used in both the `invFun` and `right_inv` fields of `ofSpecialOrthogonal`. Co-authored-by: Claude Opus 4.8 <no-reply+claude-opus-4-8@anthropic.com>
Collapse the `apply X.inner; · fun_prop; · fun_prop` proofs of inner_apply_differentiableAt/differentiable, inner_contDiff and inner_apply_contDiff to `apply X.inner <;> fun_prop`. Co-authored-by: Claude Opus 4.8 <no-reply+claude-opus-4-8@anthropic.com>
…pers Extract private helpers `schwartzCompSmulSphere` (+ `_apply`), `normPowerSeries_rpow_tendsto`, `ae_of_forall_ne_zero`, and `distOfFunction_const_mul_zpow_smul_repr_eq` to remove duplicated Schwartz-map constructions, `rpow` limit blocks, a.e.-on-complement-of-zero arguments, and scalar-pull-out steps across the radial-power lemmas. Co-authored-by: Claude Opus 4.8 <no-reply+claude-opus-4-8@anthropic.com>
Extract a private helper `integrable_smul_proj_of_radial_power`, parametrised by a projection, to share the "reduce to radial-power integrability" block between `integrable_space` and `integrable_time_space`, and tidy the tail rewrites in `integrable_mul_inv_pow`. Co-authored-by: Claude Opus 4.8 <no-reply+claude-opus-4-8@anthropic.com>
…fun_prop` Mechanical golf of six two-goal `fun_prop` dispatches across WaveEquation.Basic, FDerivCurry, HarmonicOscillator.Eigenfunction, Time.Derivatives and CanonicalEnsemble.Basic. Each module still builds. Co-authored-by: Claude Opus 4.8 <no-reply+claude-opus-4-8@anthropic.com>
Extract a private helper `norm_sum_pow_div_factorial_le_exp_norm` (partial exponential sums are bounded by `exp ‖z‖`) and use it to shorten the bound, norm-of-exp and positivity steps in `orthogonal_exp_of_mem_orthogonal`; deduplicate the integrability fact in `zero_of_orthogonal_mk`. Co-authored-by: Claude Opus 4.8 <no-reply+claude-opus-4-8@anthropic.com>
In superCommute_crPart_crPart and superCommute_anPart_anPart, replace the eight
`apply superCommute_{create,annihilate}_…; · rfl; · rfl` blocks with
`apply … <;> rfl`.
Co-authored-by: Claude Opus 4.8 <no-reply+claude-opus-4-8@anthropic.com>
In CrAnSection and Space.EuclideanGroup.Basic, replace `<construct>; · simp; · simp` with `<construct> <;> simp`. Co-authored-by: Claude Opus 4.8 <no-reply+claude-opus-4-8@anthropic.com>
Add `eventuallyEq_of_eq_on_cthickening` (packaging the repeated thickening/interior locality argument) and a private `postcomp` (localization is preserved by pointwise post-composition). Rewrite div/div_comp_repr/grad/ gradient/deriv/fderiv/adjFDeriv to use the former and mul_left/mul_right/ smul_left/fst/snd to delegate to the latter. No statements changed. Co-authored-by: Claude Opus 4.8 <no-reply+claude-opus-4-8@anthropic.com>
Reuse `eventuallyEq_of_eq_on_cthickening` in `adjFDeriv_apply`, hoist repeated IsTestFunction sub-proofs into local `have`s, deduplicate the twice-invoked `exists_sSup_image_eq_and_ge` in `unique`, make `smul_right` delegate to the byte-identical `smul_left`, and collapse the test-function-preserving helpers to term mode. Co-authored-by: Claude Opus 4.8 <no-reply+claude-opus-4-8@anthropic.com>
Shorten `fundamental_theorem_of_variational_calculus'`: replace the manual Cauchy–Schwarz calc with `neg_le_of_abs_le`/`nlinarith`, inline the `ContDiffBump` construction, and collapse the continuity/positivity/support `have`s to term mode. Co-authored-by: Claude Opus 4.8 <no-reply+claude-opus-4-8@anthropic.com>
Collapse the four near-identical group-action proofs (contrContrToMatrix_ρ, coCoToMatrix_ρ, contrCoToMatrix_ρ, coContrToMatrix_ρ) into one private helper `tensorBasis_toMatrix_map` plus short specializations. The helper works at scalar level (pointwise on matrix entries) to sidestep the Matrix/Pi instance mismatch. Co-authored-by: Claude Opus 4.8 <no-reply+claude-opus-4-8@anthropic.com>
Collapse the four near-identical group-action proofs into one private helper `tensorBasis_toMatrixRe_map` plus short specializations, mirroring the complex case. Co-authored-by: Claude Opus 4.8 <no-reply+claude-opus-4-8@anthropic.com>
Streamline the cross-product proof. Co-authored-by: Claude Opus 4.8 <no-reply+claude-opus-4-8@anthropic.com>
Streamline the gauge-action proof. Co-authored-by: Claude Opus 4.8 <no-reply+claude-opus-4-8@anthropic.com>
…ination (−23) Replace the by_cases case analysis with a single linear_combination certificate. Co-authored-by: Claude Opus 4.8 <no-reply+claude-opus-4-8@anthropic.com>
…agneticField (−20) Streamline the gradient-Lagrangian proof. Co-authored-by: Claude Opus 4.8 <no-reply+claude-opus-4-8@anthropic.com>
…er (−19) Add private iteratedDerivList_differentiable; streamline the contDiff/commute proofs. Co-authored-by: Claude Opus 4.8 <no-reply+claude-opus-4-8@anthropic.com>
…helpers (−13) Add private allowsTerm_topYukawa_of_form/allowsTerm_bottomYukawa_of_form helpers. Co-authored-by: Claude Opus 4.8 <no-reply+claude-opus-4-8@anthropic.com>
…adient (−9) Streamline the Euler-Lagrange proof. Co-authored-by: Claude Opus 4.8 <no-reply+claude-opus-4-8@anthropic.com>
Vilin97
changed the title
# Conflicts: # Physlib/ClassicalMechanics/HarmonicOscillator/Solution.lean # Physlib/ClassicalMechanics/Lagrangian/TotalDerivativeEquivalence.lean # Physlib/CondensedMatter/TightBindingChain/Basic.lean # Physlib/Relativity/Tensors/RealTensor/ToComplex.lean # Physlib/SpaceAndTime/TimeAndSpace/ConstantTimeDist.lean # Physlib/StatisticalMechanics/CanonicalEnsemble/Lemmas.lean
…nly edits Per request: eliminate every new top-level declaration introduced by the golfing pass so the PR only modifies proof bodies of existing (master) statements. Each removed helper was either inlined as a proof-local `have`/`let` at its use site (keeping the golf) or, where it was genuine cross-proof de-duplication, the affected proofs were reverted to master's original bodies. - 86 added declarations across 46 files removed; every modified file now has a declaration set byte-identical to origin/master (verified: no added/removed names, no signature/binder/attribute changes). - HasVarAdjoint: inlined the cross-file `eventuallyEq_of_eq_on_cthickening` locality helper (was reused from IsLocalizedfunctionTransform). - Style/lint fixes for CI: wrapped 10 over-length lines and replaced 2 non-terminal `simp`s with their `simp only` expansions. Full `lake build` passes (4322 jobs); style linter, sorry_lint, check_dup_tags, check_file_imports, and runPhyslibLinters all clean. Co-authored-by: Claude Opus 4.8 <no-reply+claude-opus-4-8@anthropic.com>
# Conflicts: # Physlib/Relativity/Tensors/Constructors.lean # Physlib/Relativity/Tensors/Contraction/Basic.lean # Physlib/Relativity/Tensors/Dual.lean # Physlib/Relativity/Tensors/Product.lean
Vilin97
changed the title
| mul_one, Nat.ofNat_pos, Nat.add_div_right, Nat.add_mod_right, Nat.reduceMod, Nat.mod_succ, | ||
| Fin.sum_univ_three, Nat.zero_div, Fin.zero_eta, zero_mul, zero_add, Fin.mk_one, Fin.reduceFinMk, | ||
| Nat.reduceDiv, one_mul, Nat.reduceAdd, neg_mul, mul_neg] | ||
| simp [B₂, cubeTriLin_toFun_apply_apply, finProdFinEquiv, Fin.divNat, Fin.modNat, |
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These changes I'm not so comfortable with. Should really be simp only ...
| head_val'] | ||
| change _ + _ * _ * 0 = _ | ||
| rw [exp_add] | ||
| simp [phaseShiftApply_coe, mul_apply, Fin.sum_univ_three] |
| by_contra hl | ||
| rw [not_le] at hl | ||
| obtain ⟨c, hc⟩ := h | ||
| have key : ∀ v : ℝ, ((0 < P.μ2 ∧ v ≤ 0) ∨ |
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There are lots of have key ... would be nice if they had more descriptive names
| aesop | ||
|
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||
| /-- The defining identity of the Lorentz factor: `(γ β)² (1 - β²) = 1` when `|β| < 1`. -/ | ||
| private lemma γ_sq_mul_det {β : ℝ} (hβ : |β| < 1) : (γ β) ^ 2 - (γ β) ^ 2 * β ^ 2 = 1 := by |
Resolve conflict in Physlib/Mathematics/InnerProductSpace/Basic.lean (isBoundedBilinearMap_inner'.bound) by taking the upstream proof, which our golf had left essentially unchanged. Co-Authored-By: Claude Opus 4.8 (1M context) <noreply@anthropic.com>
- DimSevenPlane (B₀_cubic..B₆_cubic) and CKMMatrix.Basic (ud..tb):
restore the explicit `simp only [...]` proofs instead of bare `simp`,
as requested ("should really be simp only"). These files now match
upstream exactly.
- LorentzGroup/Boosts/Basic: remove the added `private lemma
γ_sq_mul_det` (flagged "Added lemma" — the PR adds no new declarations)
and inline it as a single local `have hγ` shared by both use sites in
the `boost` membership proof.
- Rename all 29 golf-introduced generic `have key : ...` hypotheses
across 14 files to descriptive names reflecting their statements
(e.g. `c_le_of_attainable`, `attainable_nonneg`, `fderiv_comp_val_eq_deriv`,
`sum_add_compl_eq_three`).
Co-Authored-By: Claude Opus 4.8 (1M context) <noreply@anthropic.com>
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@jstoobysmith , addressed comments, can you allow the CI to run please? |
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The descriptive names that replaced `have key` pushed 8 lines past the 100-column limit, failing the "Python based style linter" CI job (DampedHarmonicOscillator/Solution ×4, PhysHermite, VariationalCalculus, RadialAngularMeasure). Wrap them; no semantic change. `lint-style.py` now exits 0 and the four modules still build. Co-authored-by: Claude Opus 4.8 <no-reply+claude-opus-4-8@anthropic.com>
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I think it should pass now |
jstoobysmith
approved these changes
Jun 29, 2026
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These changes now look good. Many thanks - I have approved.
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@Vilin97 Would you mind fixing the merge conflicts, and then this looks ready to go! Many thanks. |
Resolve conflicts in Physlib/SpaceAndTime/Space/Norm/{Basic,IteratedLaplacian}.lean
by taking the upstream versions: upstream refactored the `distLaplacian_*`
helper API (renamed `distLaplacian_fundamentalSolution_norm_zpow_of_three_le`
-> `...norm_zpow`, changed the `distLaplacian_distOfFunction_norm_zpow`
signature `d := 2*m` -> `2*m+1`), so our golf's old call signatures are stale.
These helpers are used only in these two files.
Co-authored-by: Claude Opus 4.8 <no-reply+claude-opus-4-8@anthropic.com>
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done |
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Merged :). |
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🏌️ check-golf reportComparing base Result: ✅ Statements preserved. Every changed declaration kept its statement; only proofs / bodies changed.
Of the golfed proofs/bodies above, the trivial reshapes were:
🔧 Definition values changed (data changed, type unchanged) (6)
✅ Proofs golfed (553)
✅ Definition proofs golfed (data unchanged) (17)
↩️ Only a newline removed (tokens unchanged) (1)
➡️ Tactics joined by `;` (6)
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Summary
A golfing pass over Physlib proofs: making proofs genuinely shorter and simpler by
streamlining arguments, increasing Mathlib usage, using more powerful tactics, and removing
redundant steps — modifying only the proof bodies of existing statements.
No new declarations are introduced. Every statement (name, signature, binders, attributes)
is byte-identical to
master; the diff touches proof bodies only. Where an earlier draft hadextracted shared helper lemmas, those have been folded back in — either inlined as proof-local
have/letterms or by streamlining each site directly — so the PR adds nothing to the public(or private) API surface.
Net ≈ −4,390 lines across 109 files. The full project builds (
lake build), and the stylelinter,
sorry_lint,check_dup_tags,check_file_imports, andrunPhyslibLintersare allclean.
Approach
simp,fun_prop,gcongr,positivity,field_simp,linarith/nlinarith,linear_combination,omega,grind).have/rw/classical/differentiability scaffolding; prefer term mode whereit is shorter.
Fin.succAbove_*,HasDerivAt.fun_sum, change-of-variables for integrability).Notable proof golfs (statements unchanged)
CanonicalEnsemble/Lemmas,CanonicalEnsemble/Finite,Temperature/Basic(thermodynamic-relation and derivative proofs).TimeAndSpace/Basic,Space/ConstantSliceDist,Space/Norm/Basic,Space/Integrals/RadialAngularMeasure,Space/Derivatives/*(Schwartz/integrability anditerated-derivative bookkeeping).
RealTensor/Metrics/Pre,RealTensor/Metrics/Basic,RealTensor/Vector/Tensorial,LorentzGroup/Boosts/Generalized,LorentzGroup/Orthochronous,SL2C/Basic,Causality/LightLike.DampedHarmonicOscillator/Solution,HamiltonsEquations,HarmonicOscillator/TISE.Fin(routesuccAbove_succAbove_predAboveIthrough Mathlib),VariationalCalculus/HasVarAdjDeriv,List,List/InsertionSort,SpecialFunctions/PhysHermite,DataStructures/FourTree/*.CKMMatrix/*,Quanta/{FiveQuanta,TenQuanta},ChargeSpectrum/*,Fluxes/{Basic,NoExotics/ChiralIndices}.Kinematics/{ElectricField,MagneticField,FieldStrength,GaugeTransformation},Vacuum/{HarmonicWave,IsPlaneWave},Dynamics/*,Distributional/*.QED/AnomalyCancellation/LineInPlaneCond,TwoHDM/GramMatrix,IdealGas/Basic,Units/{Dimension,Examples},NavierStokes/Momentum, plus localized streamlining elsewhere.Statements are byte-identical to
master; no new declarations, and nosorry/axiom/native_decideintroduced.