Zulip Chat Archive
Stream: mathlib4
Topic: gt_iff_lt proves a weird goal
Jireh Loreaux (Aug 01 2024 at 15:39):
Found this with exact?%
. I'm so confused. The kernel accepts the proof.
import Mathlib
open unitInterval
lemma coe_pos {x : I} : (0 : ℝ) < x ↔ 0 < x := gt_iff_lt
Yaël Dillies (Aug 01 2024 at 15:40):
gt_iff_lt
is just Iff.rfl
specialised to a < b
. (0 : ℝ) < x ↔ 0 < x
is defeq to (0 : ℝ) < x ↔ (0 : ℝ) < x
. So it works.
Jireh Loreaux (Aug 01 2024 at 15:41):
lol I tried rfl
instead of Iff.rfl
without thinking before I did exact?%
. Thanks. I'm just being stupid.
Last updated: May 02 2025 at 03:31 UTC