Theorems · Theorem · group theory

AddCon.map_apply

∀ {M : Type u_1} [inst : AddZeroClass M] {c d : AddCon M} (h : c ≤ d) (x : c.Quotient),
  (c.map d h) x = (c.lift d.mk' ⋯) x

Given additive congruence relations c, d on an AddMonoid such that d contains c, the definition of the homomorphism from the quotient by c to the quotient by d induced by d's quotient map.

Defined in

Mathlib.GroupTheory.Congruence.Hom

Cited by

0 results in Mathlib

Foundations

Depth 18 from the axioms · uses propext, Quot.sound

Assumes

AddZeroClass