Theorems · Theorem · commutative algebra

RingHom.sub_mem_ker_iff

∀ {R : Type u} {S : Type v} {F : Type u_1} [inst : Ring R] [inst_1 : Ring S] [inst_2 : FunLike F R S]
  [rc : RingHomClass F R S] (f : F) {x y : R}, x - y ∈ RingHom.ker f ↔ f x = f y

Defined in

Mathlib.RingTheory.Ideal.Maps

Cited by

3 results in Mathlib

Foundations

Depth 21 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

RingRingFunLikeRingHomClass