Theorems · Theorem · group theory

Function.Bijective.addActionHom_embedding_isBijective

∀ {G : Type u_1} {α : Type u_2} [inst : AddGroup G] [inst_1 : AddAction G α] {H : Type u_3} {β : Type u_4}
  [inst_2 : AddGroup H] [inst_3 : AddAction H β] {σ : G → H} {f : α →ₑ[σ] β} {ι : Type u_5}
  (hf : Function.Bijective ⇑f), Function.Bijective ⇑(Function.Injective.addActionHom_embedding ι ⋯)

Defined in

Mathlib.GroupTheory.GroupAction.MultipleTransitivity

Cited by

1 results in Mathlib

Foundations

Depth 21 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

AddGroupAddActionAddGroupAddAction