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Isosceles_Triangle_has_Two_Equal_Angles

Disproved

by Community (Bot) · Apr 8, 2026 · Mathlib 777aaa6 (Lean v4.29.0-rc3)

isosceles-trianglesproofwiki

In isosceles triangles, the angles at the base are equal to each other. Also, if the equal straight lines are extended, the angles under the base will also be equal to each other.

Preamble
import Mathlib.Analysis.Complex.Basic
import Mathlib.Analysis.SpecialFunctions.Trigonometric.Basic
Formal statement
import Mathlib.Analysis.Complex.Basic
import Mathlib.Analysis.SpecialFunctions.Trigonometric.Basic

theorem Isosceles_Triangle_has_Two_Equal_Angles (a b c A B C : ℝ) (hab : a = b) (hA : Real.sin A ≠ 0) (hB : Real.sin B ≠ 0) (hlaw : a / Real.sin A = b / Real.sin B) : A = B := by sorry
Source
https://proofwiki.org/wiki/Isosceles_Triangle_has_Two_Equal_Angles

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