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Theorems · Theorem · group theory

Function.Injective.mulActionHom_embedding_isInjective

∀ {G : Type u_1} {α : Type u_2} [inst : Group G] [inst_1 : MulAction G α] {H : Type u_3} {β : Type u_4}
  [inst_2 : Group H] [inst_3 : MulAction H β] {σ : G → H} {f : α →ₑ[σ] β} {ι : Type u_5} (hf : Function.Injective ⇑f),
  Function.Injective ⇑(Function.Injective.mulActionHom_embedding ι hf)
Defined in
Mathlib.GroupTheory.GroupAction.MultipleTransitivity
Cited by
1 results in Mathlib
Foundations
Depth 20 from the axioms · uses propext, Quot.sound
Assumes
GroupMulActionGroupMulAction
Mathlib docsSourceLoogleLeanSearch

Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

Function.Bijective.mulActionHom_embedding_isBijective · cited by 1Bijective.mulActionHom_em…DFunLike.coe · cited by 62936DFunLike.coeGroup · cited by 6238GroupMulAction · cited by 1294MulActionFunction.Embedding · cited by 988Function.EmbeddingMulActionHom · cited by 124MulActionHomFunction.Embedding.ext · cited by 27Embedding.extFunction.Injective.mulActionHom_embedding · cited by 4Injective.mulActionHom_em…Function.Injective.mulActionHom_embedding_apply · cited by 2Injective.mulActionHom_em…Injective.mulActionHom_embedd…CITED BYCITES

Cites8

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Cited by1

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