Theorems · Theorem · ring theory

TwoSidedIdeal.mem_comap

∀ {R : Type u_1} {S : Type u_2} [inst : NonUnitalNonAssocRing R] [inst_1 : NonUnitalNonAssocRing S] {F : Type u_3}
  [inst_2 : FunLike F R S] (f : F) [inst_3 : NonUnitalRingHomClass F R S] {I : TwoSidedIdeal S} {x : R},
  x ∈ (TwoSidedIdeal.comap f) I ↔ f x ∈ I

Defined in

Mathlib.RingTheory.TwoSidedIdeal.Operations

Cited by

0 results in Mathlib

Foundations

Depth 45 from the axioms · uses propext, Quot.sound

Assumes

NonUnitalNonAssocRingNonUnitalNonAssocRingFunLikeNonUnitalRingHomClass