Theorems · Theorem · ring theory

NonUnitalSubsemiring.map_le_iff_le_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] {f : F} {s : NonUnitalSubsemiring R}
  {t : NonUnitalSubsemiring S}, NonUnitalSubsemiring.map f s ≤ t ↔ s ≤ NonUnitalSubsemiring.comap f t

Defined in

Mathlib.RingTheory.NonUnitalSubsemiring.Basic

Cited by

1 results in Mathlib

Foundations

Depth 24 from the axioms · uses propext, Quot.sound

Assumes

NonUnitalNonAssocSemiringNonUnitalNonAssocSemiringFunLikeNonUnitalRingHomClass