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Merged
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Oct 22, 2025
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use-rewrite-strat #109

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8 changes: 4 additions & 4 deletions BigN/BigN.v
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Original file line number Diff line number Diff line change
Expand Up @@ -97,7 +97,7 @@ constructor.
intros. red. rewrite BigN.spec_pow, BigN.spec_of_N.
rewrite Zpower_theory.(rpow_pow_N).
destruct n; simpl. reflexivity.
induction p; simpl; intros; BigN.zify; rewrite ?IHp; auto.
induction p; simpl; intros; BigN.zify_strat; rewrite ?IHp; auto.
Qed.

Lemma BigNdiv : div_theory BigN.eq BigN.add BigN.mul (@id _)
Expand All @@ -106,13 +106,13 @@ Proof.
constructor. unfold id. intros a b.
BigN.zify.
case Z.eqb_spec.
BigN.zify. auto with zarith.
BigN.zify_strat. auto with zarith.
intros NEQ.
generalize (BigN.spec_div_eucl a b).
generalize (Z_div_mod_full (BigN.to_Z a) (BigN.to_Z b) NEQ).
destruct BigN.div_eucl as (q,r), Z.div_eucl as (q',r').
intros (EQ,_). injection 1 as EQr EQq.
BigN.zify. rewrite EQr, EQq; auto.
BigN.zify_strat. rewrite EQr, EQq; auto.
Qed.


Expand Down Expand Up @@ -193,5 +193,5 @@ End TestOrder.

Section TestLia.
Let test : forall x y : bigN, x<=y -> y<=x -> x==y.
Proof. intros x y. BigN.zify. lia. Defined.
Proof. intros x y. BigN.zify_strat. lia. Defined.
End TestLia.
4 changes: 2 additions & 2 deletions BigQ/BigQ.v
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Expand Up @@ -105,7 +105,7 @@ Declare Equivalent Keys pow_N pow_pos.
Lemma BigQpowerth :
power_theory 1 BigQ.mul BigQ.eq Z.of_N BigQ.power.
Proof.
constructor. intros. BigQ.qify.
constructor. intros. BigQ.qify_strat.
replace (BigQ.to_Q r ^ Z.of_N n)%Q with (pow_N 1 Qmult (BigQ.to_Q r) n)%Q by (now destruct n).
destruct n. reflexivity.
induction p; simpl; auto; rewrite ?BigQ.spec_mul, ?IHp; reflexivity.
Expand Down Expand Up @@ -178,5 +178,5 @@ End TestOrder.

Section TestQify.
Let test : forall x : bigQ, 0+x == 1*x.
Proof. intro x. BigQ.qify. ring. Defined.
Proof. intro x. BigQ.qify_strat. ring. Defined.
End TestQify.
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