Theorems · Theorem · commutative algebra

RingCon.comapQuotientEquivOfSurj_symm_mk

∀ {M : Type u_1} {N : Type u_2} [inst : NonAssocSemiring M] [inst_1 : NonAssocSemiring N] (c : RingCon M) {f : N →+* M}
  (hf : Function.Surjective ⇑f) {d : RingCon N} (hcd : d = c.comap f) (x : N),
  (c.comapQuotientEquivOfSurj f hf hcd).symm ↑(f x) = ↑x

Defined in

Mathlib.RingTheory.Congruence.Hom

Cited by

0 results in Mathlib

Foundations

Depth 40 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

NonAssocSemiringNonAssocSemiring