Theorems · Theorem · group theory

AddSubmonoid.comap_iSup_map_of_injective

∀ {M : Type u_1} {N : Type u_2} [inst : AddZeroClass M] [inst_1 : AddZeroClass N] {F : Type u_4}
  [inst_2 : FunLike F M N] [mc : AddMonoidHomClass F M N] {ι : Type u_5} {f : F},
  Function.Injective ⇑f → ∀ (S : ι → AddSubmonoid M), AddSubmonoid.comap f (⨆ i, AddSubmonoid.map f (S i)) = iSup S

Defined in

Mathlib.Algebra.Group.Submonoid.Operations

Cited by

0 results in Mathlib

Foundations

Depth 63 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

AddZeroClassAddZeroClassFunLikeAddMonoidHomClass