Theorems · Theorem · ring theory

NonUnitalSubsemiring.comap_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} (f : F)
  (s : ι → NonUnitalSubsemiring S), NonUnitalSubsemiring.comap f (iInf s) = ⨅ i, NonUnitalSubsemiring.comap f (s i)

Defined in

Mathlib.RingTheory.NonUnitalSubsemiring.Basic

Cited by

0 results in Mathlib

Foundations

Depth 67 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

NonUnitalNonAssocSemiringNonUnitalNonAssocSemiringFunLikeNonUnitalRingHomClass