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-rw-r--r--theories/ZArith/Zorder.v6
1 files changed, 3 insertions, 3 deletions
diff --git a/theories/ZArith/Zorder.v b/theories/ZArith/Zorder.v
index 73dee0cf2..18915216a 100644
--- a/theories/ZArith/Zorder.v
+++ b/theories/ZArith/Zorder.v
@@ -339,7 +339,7 @@ Notation Zle_0_1 := Z.le_0_1 (compat "8.3").
Lemma Zle_neg_pos : forall p q:positive, Zneg p <= Zpos q.
Proof.
- easy.
+ exact Pos2Z.neg_le_pos.
Qed.
Lemma Zgt_pos_0 : forall p:positive, Zpos p > 0.
@@ -350,12 +350,12 @@ Qed.
(* weaker but useful (in [Z.pow] for instance) *)
Lemma Zle_0_pos : forall p:positive, 0 <= Zpos p.
Proof.
- easy.
+ exact Pos2Z.pos_is_nonneg.
Qed.
Lemma Zlt_neg_0 : forall p:positive, Zneg p < 0.
Proof.
- easy.
+ exact Pos2Z.neg_is_neg.
Qed.
Lemma Zle_0_nat : forall n:nat, 0 <= Z.of_nat n.