Theorems · Theorem · commutative algebra

RingCon.map_apply

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

Given ring congruence relations c, d on a ring 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.RingTheory.Congruence.Hom

Cited by

0 results in Mathlib

Foundations

Depth 35 from the axioms · uses propext, Quot.sound

Assumes

NonAssocSemiring