Theorems · Theorem · ring theory

NonUnitalSubsemiring.map_iInf

∀ {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] {ι : Sort u_2} [Nonempty ι] (f : F),
  Function.Injective ⇑f →
    ∀ (s : ι → NonUnitalSubsemiring R), NonUnitalSubsemiring.map f (iInf s) = ⨅ i, NonUnitalSubsemiring.map f (s i)

Defined in

Mathlib.RingTheory.NonUnitalSubsemiring.Basic

Cited by

0 results in Mathlib

Foundations

Depth 65 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

NonUnitalNonAssocSemiringNonUnitalNonAssocSemiringFunLikeNonUnitalRingHomClassNonempty