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-rw-r--r--theories/Numbers/Cyclic/ZModulo/ZModulo.v3
1 files changed, 3 insertions, 0 deletions
diff --git a/theories/Numbers/Cyclic/ZModulo/ZModulo.v b/theories/Numbers/Cyclic/ZModulo/ZModulo.v
index 5e486333b2..6aad65899a 100644
--- a/theories/Numbers/Cyclic/ZModulo/ZModulo.v
+++ b/theories/Numbers/Cyclic/ZModulo/ZModulo.v
@@ -61,6 +61,7 @@ Section ZModulo.
apply Z.lt_gt.
unfold wB, base; auto with zarith.
Qed.
+ #[local]
Hint Resolve wB_pos : core.
Lemma spec_to_Z_1 : forall x, 0 <= [|x|].
@@ -72,6 +73,7 @@ Section ZModulo.
Proof.
unfold to_Z; intros; destruct (Z_mod_lt x wB wB_pos); auto.
Qed.
+ #[local]
Hint Resolve spec_to_Z_1 spec_to_Z_2 : core.
Lemma spec_to_Z : forall x, 0 <= [|x|] < wB.
@@ -706,6 +708,7 @@ Section ZModulo.
Proof.
induction p; simpl; auto with zarith.
Qed.
+ #[local]
Hint Resolve Ptail_pos : core.
Lemma Ptail_bounded : forall p d, Zpos p < 2^(Zpos d) -> Ptail p < Zpos d.