Theorems · Theorem · group theory
Function.Injective.addActionHom_embedding_isInjective
∀ {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.Injective ⇑f), Function.Injective ⇑(Function.Injective.addActionHom_embedding ι hf)- Cited by
- 1 results in Mathlib
- Foundations
- Depth 20 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- AddGroupstatement and proof · cited by 4,410
- Function.Embeddingstatement and proof · cited by 988
- AddActionstatement and proof · cited by 820
- AddActionHomstatement and proof · cited by 82
- Function.Embedding.extproof · cited by 27
- Function.Injective.addActionHom_embeddingstatement and proof · cited by 3
- Function.Injective.addActionHom_embedding_applyproof · cited by 2
Cited by1
Results whose statement or proof uses this declaration.
- Function.Bijective.addActionHom_embedding_isBijectiveproof · cited by 1