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Fix statement of Rmult_gt_reg_l in RIneq.v #213

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Merged
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Oct 21, 2025
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Fix statement of Rmult_gt_reg_l in RIneq.v #213

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8 changes: 8 additions & 0 deletions doc/changelog/01-changed/213-fix-rmult-gt-reg-l.rst
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@@ -0,0 +1,8 @@
- in `RIneq.v`

+ Changed the statement of `Rmult_gt_reg_l`.
Use the convertible `Rmult_lt_reg_l`
if you need a backward compatible solution
(`#213 <https://github.com/coq/stdlib/pull/213>`_,
fixes `#212 <https://github.com/coq/stdlib/issues/212>`_,
by Damien Doligez).
2 changes: 1 addition & 1 deletion theories/Reals/RIneq.v
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Expand Up @@ -1662,7 +1662,7 @@ Proof.
now rewrite 2(Rmult_comm r).
Qed.

Lemma Rmult_gt_reg_l : forall r r1 r2, 0 < r -> r * r1 < r * r2 -> r1 < r2.
Lemma Rmult_gt_reg_l : forall r r1 r2, r > 0 -> r * r1 > r * r2 -> r1 > r2.
Proof. now intros r r1 r2; apply Rmult_lt_reg_l. Qed.

Lemma Rmult_gt_reg_r : forall r r1 r2, r > 0 -> r1 * r > r2 * r -> r1 > r2.
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