ext' — Mathlib

English

The map sending a congruence to its underlying binary relation is injective.

Русский

Отображение конгруэнции к её базовой двоичной relation выпукло инъективно.

LaTeX

$$$$\text{If } \text{coe}(c) = \text{coe}(d) \text{ then } c = d.$$$$

Lean4

/-- The map sending a congruence relation to its underlying binary relation is injective. -/
theorem ext' {c d : RingCon R} (H : ⇑c = ⇑d) : c = d :=
  DFunLike.coe_injective H

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