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lukaszcz merged 1 commit into from
Sep 26, 2025
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Adapt to https://github.com/coq/coq/pull/19530 #185

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104 changes: 52 additions & 52 deletions theories/Tactics/Hints.v
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Original file line number Diff line number Diff line change
@@ -1,32 +1,32 @@
From Hammer Require Import Tactics.
Require List Arith ZArith Bool.

Global Hint Rewrite -> Arith.PeanoNat.Nat.add_0_r : shints.
Global Hint Rewrite -> Arith.PeanoNat.Nat.add_1_r : shints.
Global Hint Rewrite -> Arith.PeanoNat.Nat.sub_0_r : shints.
Global Hint Rewrite -> Arith.PeanoNat.Nat.mul_0_r : shints.
Global Hint Rewrite -> Arith.PeanoNat.Nat.mul_1_r : shints.
Global Hint Rewrite -> Arith.PeanoNat.Nat.add_assoc : shints.
Global Hint Rewrite -> Arith.PeanoNat.Nat.mul_assoc : shints.
Global Hint Rewrite -> Arith.PeanoNat.Nat.mul_add_distr_r : shints.
Global Hint Rewrite -> Arith.PeanoNat.Nat.mul_add_distr_l : shints.
Global Hint Rewrite -> Arith.PeanoNat.Nat.mul_sub_distr_r : shints.
Global Hint Rewrite -> Arith.PeanoNat.Nat.mul_sub_distr_l : shints.
Global Hint Rewrite -> Arith.PeanoNat.Nat.sub_add_distr : shints.
Global Hint Rewrite <- Arith.PeanoNat.Nat.leb_antisym : shints.
Global Hint Rewrite <- Arith.PeanoNat.Nat.ltb_antisym : shints.
Global Hint Rewrite -> ZArith.BinInt.Z.add_0_r : shints.
Global Hint Rewrite -> ZArith.BinInt.Z.add_1_r : shints.
Global Hint Rewrite -> ZArith.BinInt.Z.sub_0_r : shints.
Global Hint Rewrite -> ZArith.BinInt.Z.mul_0_r : shints.
Global Hint Rewrite -> ZArith.BinInt.Z.mul_1_r : shints.
Global Hint Rewrite -> ZArith.BinInt.Z.add_assoc : shints.
Global Hint Rewrite -> ZArith.BinInt.Z.mul_assoc : shints.
Global Hint Rewrite -> ZArith.BinInt.Z.mul_add_distr_r : shints.
Global Hint Rewrite -> ZArith.BinInt.Z.mul_add_distr_l : shints.
Global Hint Rewrite -> ZArith.BinInt.Z.mul_sub_distr_r : shints.
Global Hint Rewrite -> ZArith.BinInt.Z.mul_sub_distr_l : shints.
Global Hint Rewrite -> ZArith.BinInt.Z.sub_add_distr : shints.
Global Hint Rewrite -> PeanoNat.Nat.add_0_r : shints.
Global Hint Rewrite -> PeanoNat.Nat.add_1_r : shints.
Global Hint Rewrite -> PeanoNat.Nat.sub_0_r : shints.
Global Hint Rewrite -> PeanoNat.Nat.mul_0_r : shints.
Global Hint Rewrite -> PeanoNat.Nat.mul_1_r : shints.
Global Hint Rewrite -> PeanoNat.Nat.add_assoc : shints.
Global Hint Rewrite -> PeanoNat.Nat.mul_assoc : shints.
Global Hint Rewrite -> PeanoNat.Nat.mul_add_distr_r : shints.
Global Hint Rewrite -> PeanoNat.Nat.mul_add_distr_l : shints.
Global Hint Rewrite -> PeanoNat.Nat.mul_sub_distr_r : shints.
Global Hint Rewrite -> PeanoNat.Nat.mul_sub_distr_l : shints.
Global Hint Rewrite -> PeanoNat.Nat.sub_add_distr : shints.
Global Hint Rewrite <- PeanoNat.Nat.leb_antisym : shints.
Global Hint Rewrite <- PeanoNat.Nat.ltb_antisym : shints.
Global Hint Rewrite -> BinInt.Z.add_0_r : shints.
Global Hint Rewrite -> BinInt.Z.add_1_r : shints.
Global Hint Rewrite -> BinInt.Z.sub_0_r : shints.
Global Hint Rewrite -> BinInt.Z.mul_0_r : shints.
Global Hint Rewrite -> BinInt.Z.mul_1_r : shints.
Global Hint Rewrite -> BinInt.Z.add_assoc : shints.
Global Hint Rewrite -> BinInt.Z.mul_assoc : shints.
Global Hint Rewrite -> BinInt.Z.mul_add_distr_r : shints.
Global Hint Rewrite -> BinInt.Z.mul_add_distr_l : shints.
Global Hint Rewrite -> BinInt.Z.mul_sub_distr_r : shints.
Global Hint Rewrite -> BinInt.Z.mul_sub_distr_l : shints.
Global Hint Rewrite -> BinInt.Z.sub_add_distr : shints.
Global Hint Rewrite -> List.in_app_iff : shints.
Global Hint Rewrite -> List.in_map_iff : shints.
Global Hint Rewrite <- List.app_assoc : shints.
Expand Down Expand Up @@ -57,30 +57,30 @@ Global Hint Rewrite -> List.in_app_iff : slist.
Global Hint Rewrite -> List.in_map_iff : slist.
Global Hint Rewrite <- List.app_assoc : slist.

Global Hint Rewrite -> Arith.PeanoNat.Nat.add_0_r : sarith.
Global Hint Rewrite -> Arith.PeanoNat.Nat.add_1_r : sarith.
Global Hint Rewrite -> Arith.PeanoNat.Nat.sub_0_r : sarith.
Global Hint Rewrite -> Arith.PeanoNat.Nat.mul_0_r : sarith.
Global Hint Rewrite -> Arith.PeanoNat.Nat.mul_1_r : sarith.
Global Hint Rewrite -> Arith.PeanoNat.Nat.add_assoc : sarith.
Global Hint Rewrite -> Arith.PeanoNat.Nat.mul_assoc : sarith.
Global Hint Rewrite -> Arith.PeanoNat.Nat.mul_add_distr_r : sarith.
Global Hint Rewrite -> Arith.PeanoNat.Nat.mul_add_distr_l : sarith.
Global Hint Rewrite -> Arith.PeanoNat.Nat.mul_sub_distr_r : sarith.
Global Hint Rewrite -> Arith.PeanoNat.Nat.mul_sub_distr_l : sarith.
Global Hint Rewrite -> Arith.PeanoNat.Nat.sub_add_distr : sarith.
Global Hint Rewrite <- Arith.PeanoNat.Nat.leb_antisym : sarith.
Global Hint Rewrite <- Arith.PeanoNat.Nat.ltb_antisym : sarith.
Global Hint Rewrite -> PeanoNat.Nat.add_0_r : sarith.
Global Hint Rewrite -> PeanoNat.Nat.add_1_r : sarith.
Global Hint Rewrite -> PeanoNat.Nat.sub_0_r : sarith.
Global Hint Rewrite -> PeanoNat.Nat.mul_0_r : sarith.
Global Hint Rewrite -> PeanoNat.Nat.mul_1_r : sarith.
Global Hint Rewrite -> PeanoNat.Nat.add_assoc : sarith.
Global Hint Rewrite -> PeanoNat.Nat.mul_assoc : sarith.
Global Hint Rewrite -> PeanoNat.Nat.mul_add_distr_r : sarith.
Global Hint Rewrite -> PeanoNat.Nat.mul_add_distr_l : sarith.
Global Hint Rewrite -> PeanoNat.Nat.mul_sub_distr_r : sarith.
Global Hint Rewrite -> PeanoNat.Nat.mul_sub_distr_l : sarith.
Global Hint Rewrite -> PeanoNat.Nat.sub_add_distr : sarith.
Global Hint Rewrite <- PeanoNat.Nat.leb_antisym : sarith.
Global Hint Rewrite <- PeanoNat.Nat.ltb_antisym : sarith.

Global Hint Rewrite -> ZArith.BinInt.Z.add_0_r : szarith.
Global Hint Rewrite -> ZArith.BinInt.Z.add_1_r : szarith.
Global Hint Rewrite -> ZArith.BinInt.Z.sub_0_r : szarith.
Global Hint Rewrite -> ZArith.BinInt.Z.mul_0_r : szarith.
Global Hint Rewrite -> ZArith.BinInt.Z.mul_1_r : szarith.
Global Hint Rewrite -> ZArith.BinInt.Z.add_assoc : szarith.
Global Hint Rewrite -> ZArith.BinInt.Z.mul_assoc : szarith.
Global Hint Rewrite -> ZArith.BinInt.Z.mul_add_distr_r : szarith.
Global Hint Rewrite -> ZArith.BinInt.Z.mul_add_distr_l : szarith.
Global Hint Rewrite -> ZArith.BinInt.Z.mul_sub_distr_r : szarith.
Global Hint Rewrite -> ZArith.BinInt.Z.mul_sub_distr_l : szarith.
Global Hint Rewrite -> ZArith.BinInt.Z.sub_add_distr : szarith.
Global Hint Rewrite -> BinInt.Z.add_0_r : szarith.
Global Hint Rewrite -> BinInt.Z.add_1_r : szarith.
Global Hint Rewrite -> BinInt.Z.sub_0_r : szarith.
Global Hint Rewrite -> BinInt.Z.mul_0_r : szarith.
Global Hint Rewrite -> BinInt.Z.mul_1_r : szarith.
Global Hint Rewrite -> BinInt.Z.add_assoc : szarith.
Global Hint Rewrite -> BinInt.Z.mul_assoc : szarith.
Global Hint Rewrite -> BinInt.Z.mul_add_distr_r : szarith.
Global Hint Rewrite -> BinInt.Z.mul_add_distr_l : szarith.
Global Hint Rewrite -> BinInt.Z.mul_sub_distr_r : szarith.
Global Hint Rewrite -> BinInt.Z.mul_sub_distr_l : szarith.
Global Hint Rewrite -> BinInt.Z.sub_add_distr : szarith.
44 changes: 22 additions & 22 deletions theories/Tactics/Reconstr.v
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Expand Up @@ -12,28 +12,28 @@ Inductive ReconstrT : Set := Empty : ReconstrT | AllHyps : ReconstrT.

Create HintDb yhints discriminated.

Global Hint Rewrite -> Arith.PeanoNat.Nat.add_0_r : yhints.
Global Hint Rewrite -> Arith.PeanoNat.Nat.sub_0_r : yhints.
Global Hint Rewrite -> Arith.PeanoNat.Nat.mul_0_r : yhints.
Global Hint Rewrite -> Arith.PeanoNat.Nat.mul_1_r : yhints.
Global Hint Rewrite -> Arith.PeanoNat.Nat.add_assoc : yhints.
Global Hint Rewrite -> Arith.PeanoNat.Nat.mul_assoc : yhints.
Global Hint Rewrite -> Arith.PeanoNat.Nat.mul_add_distr_r : yhints.
Global Hint Rewrite -> Arith.PeanoNat.Nat.mul_add_distr_l : yhints.
Global Hint Rewrite -> Arith.PeanoNat.Nat.mul_sub_distr_r : yhints.
Global Hint Rewrite -> Arith.PeanoNat.Nat.mul_sub_distr_l : yhints.
Global Hint Rewrite -> Arith.PeanoNat.Nat.sub_add_distr : yhints.
Global Hint Rewrite -> ZArith.BinInt.Z.add_0_r : yhints.
Global Hint Rewrite -> ZArith.BinInt.Z.sub_0_r : yhints.
Global Hint Rewrite -> ZArith.BinInt.Z.mul_0_r : yhints.
Global Hint Rewrite -> ZArith.BinInt.Z.mul_1_r : yhints.
Global Hint Rewrite -> ZArith.BinInt.Z.add_assoc : yhints.
Global Hint Rewrite -> ZArith.BinInt.Z.mul_assoc : yhints.
Global Hint Rewrite -> ZArith.BinInt.Z.mul_add_distr_r : yhints.
Global Hint Rewrite -> ZArith.BinInt.Z.mul_add_distr_l : yhints.
Global Hint Rewrite -> ZArith.BinInt.Z.mul_sub_distr_r : yhints.
Global Hint Rewrite -> ZArith.BinInt.Z.mul_sub_distr_l : yhints.
Global Hint Rewrite -> ZArith.BinInt.Z.sub_add_distr : yhints.
Global Hint Rewrite -> PeanoNat.Nat.add_0_r : yhints.
Global Hint Rewrite -> PeanoNat.Nat.sub_0_r : yhints.
Global Hint Rewrite -> PeanoNat.Nat.mul_0_r : yhints.
Global Hint Rewrite -> PeanoNat.Nat.mul_1_r : yhints.
Global Hint Rewrite -> PeanoNat.Nat.add_assoc : yhints.
Global Hint Rewrite -> PeanoNat.Nat.mul_assoc : yhints.
Global Hint Rewrite -> PeanoNat.Nat.mul_add_distr_r : yhints.
Global Hint Rewrite -> PeanoNat.Nat.mul_add_distr_l : yhints.
Global Hint Rewrite -> PeanoNat.Nat.mul_sub_distr_r : yhints.
Global Hint Rewrite -> PeanoNat.Nat.mul_sub_distr_l : yhints.
Global Hint Rewrite -> PeanoNat.Nat.sub_add_distr : yhints.
Global Hint Rewrite -> BinInt.Z.add_0_r : yhints.
Global Hint Rewrite -> BinInt.Z.sub_0_r : yhints.
Global Hint Rewrite -> BinInt.Z.mul_0_r : yhints.
Global Hint Rewrite -> BinInt.Z.mul_1_r : yhints.
Global Hint Rewrite -> BinInt.Z.add_assoc : yhints.
Global Hint Rewrite -> BinInt.Z.mul_assoc : yhints.
Global Hint Rewrite -> BinInt.Z.mul_add_distr_r : yhints.
Global Hint Rewrite -> BinInt.Z.mul_add_distr_l : yhints.
Global Hint Rewrite -> BinInt.Z.mul_sub_distr_r : yhints.
Global Hint Rewrite -> BinInt.Z.mul_sub_distr_l : yhints.
Global Hint Rewrite -> BinInt.Z.sub_add_distr : yhints.
Global Hint Rewrite -> List.in_app_iff : yhints.
Global Hint Rewrite -> List.in_map_iff : yhints.
Global Hint Rewrite -> List.in_inv : yhints.
Expand Down
20 changes: 10 additions & 10 deletions theories/Tactics/Tactics.v
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Expand Up @@ -6,7 +6,7 @@
Declare ML Module "coq-hammer-tactics.lib".

Require Import Lia.
Require Import Program.Equality.
From Stdlib.Program Require Import Equality.
From Hammer Require Import Tactics.Reflect.

Create HintDb shints discriminated.
Expand Down Expand Up @@ -379,11 +379,11 @@ Ltac trysolve :=
eauto 2 with shints; try solve [ constructor ];
match goal with
| [ |- ?t = ?u ] => try solve [ try subst; congruence 8 |
match type of t with nat => lia | ZArith.BinInt.Z => lia end ]
match type of t with nat => lia | BinInt.Z => lia end ]
| [ |- ?t <> ?u ] => try solve [ try subst; congruence 8 |
match type of t with nat => lia | ZArith.BinInt.Z => lia end ]
match type of t with nat => lia | BinInt.Z => lia end ]
| [ |- (?t = ?u) -> False ] => try solve [ intro; try subst; congruence 8 |
match type of t with nat => lia | ZArith.BinInt.Z => lia end ]
match type of t with nat => lia | BinInt.Z => lia end ]
| [ |- False ] => try solve [ try subst; congruence 8 ]
| [ |- ?t >= ?u ] => try solve [ lia ]
| [ |- ?t <= ?u ] => try solve [ lia ]
Expand Down Expand Up @@ -530,24 +530,24 @@ Ltac bnat_reflect :=
clear H
| [ H : (Nat.eqb ?A ?B) = true |- _ ] =>
notHyp (A = B);
assert (A = B) by (rewrite Coq.Arith.PeanoNat.Nat.eqb_eq in H; apply H);
assert (A = B) by (rewrite PeanoNat.Nat.eqb_eq in H; apply H);
try subst
| [ H : (Nat.eqb ?A ?B) = false |- _ ] =>
notHyp (A = B -> False);
assert (A = B -> False) by
(rewrite <- Coq.Arith.PeanoNat.Nat.eqb_eq; rewrite H; discriminate)
(rewrite <- PeanoNat.Nat.eqb_eq; rewrite H; discriminate)
| [ H : (Nat.leb ?A ?B) = true |- _ ] =>
notHyp (A <= B);
assert (A <= B) by (apply Coq.Arith.Compare_dec.leb_complete; apply H)
assert (A <= B) by (apply Compare_dec.leb_complete; apply H)
| [ H : (Nat.leb ?A ?B) = false |- _ ] =>
notHyp (B < A);
assert (B < A) by (apply Coq.Arith.Compare_dec.leb_complete_conv; apply H)
assert (B < A) by (apply Compare_dec.leb_complete_conv; apply H)
| [ H : (Nat.ltb ?A ?B) = true |- _ ] =>
notHyp (A < B);
assert (A < B) by (apply Coq.Arith.PeanoNat.Nat.ltb_lt; apply H)
assert (A < B) by (apply PeanoNat.Nat.ltb_lt; apply H)
| [ H : (Nat.ltb ?A ?B) = false |- _ ] =>
notHyp (B <= A);
assert (B <= A) by (apply Coq.Arith.PeanoNat.Nat.ltb_ge; apply H)
assert (B <= A) by (apply PeanoNat.Nat.ltb_ge; apply H)
| [ H : (BinNat.N.eqb ?A ?B) = true |- _ ] =>
notHyp (A = B);
assert (A = B) by (apply Coq.NArith.BinNat.N.eqb_eq; apply H);
Expand Down