Theorems · Theorem · commutative algebra

RingCon.lift_coe

∀ {M : Type u_1} {P : Type u_3} [inst : NonAssocSemiring M] [inst_1 : NonAssocSemiring P] {c : RingCon M} {f : M →+* P}
  (H : c ≤ RingCon.ker f) (x : M), (c.lift f H) ↑x = f x

The diagram describing the universal property for quotients of rings commutes.

Defined in

Mathlib.RingTheory.Congruence.Hom

Cited by

0 results in Mathlib

Foundations

Depth 34 from the axioms · uses propext, Quot.sound

Assumes

NonAssocSemiringNonAssocSemiring