mk'_ker — Mathlib

English

The kernel of the natural quotient map c.mk' is exactly c.

Русский

Ядро естественного отображения кривая/квартирования c.mk' ровно равно c.

LaTeX

$$$\ker c.mk' = c$$$

Lean4

/-- The kernel of the natural homomorphism from a monoid to its quotient by a congruence
relation `c` equals `c`. -/
@[to_additive (attr := simp) /-- The kernel of the natural homomorphism from an `AddMonoid` to its
    quotient by an additive congruence relation `c` equals `c`. -/
    ]
theorem mk'_ker : ker c.mk' = c :=
  ext fun _ _ => c.eq

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