Theorems · Theorem · ring theory

NonUnitalSubsemiring.mem_comap

∀ {R : Type u} {S : Type v} [inst : NonUnitalNonAssocSemiring R] [inst_1 : NonUnitalNonAssocSemiring S] {F : Type u_1}
  [inst_2 : FunLike F R S] [inst_3 : NonUnitalRingHomClass F R S] {s : NonUnitalSubsemiring S} {f : F} {x : R},
  x ∈ NonUnitalSubsemiring.comap f s ↔ f x ∈ s

Defined in

Mathlib.RingTheory.NonUnitalSubsemiring.Basic

Cited by

1 results in Mathlib

Foundations

Depth 18 from the axioms · uses no axioms

Assumes

NonUnitalNonAssocSemiringNonUnitalNonAssocSemiringFunLikeNonUnitalRingHomClass