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Theorems · Theorem · group theory

Function.Embedding.vadd_apply

∀ {G : Type u_1} {α : Type u_3} {β : Type u_4} [inst : AddGroup G] [inst_1 : AddAction G β] (g : G) (f : α ↪ β) (a : α),
  (g +ᵥ f) a = g +ᵥ f a
Defined in
Mathlib.GroupTheory.GroupAction.Embedding
Cited by
4 results in Mathlib
Foundations
Depth 17 from the axioms · uses propext, Quot.sound
Assumes
AddGroupAddAction
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Around this declaration

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

SubAddAction.ofFixingAddSubgroup.isMultiplyPretransitive · cited by 3ofFixingAddSubgroup.isMul…AddAction.is_two_pretransitive_iff · cited by 2AddAction.is_two_pretrans…SubAddAction.ofStabilizer.isMultiplyPretransitive · cited by 2ofStabilizer.isMultiplyPr…AddAction.IsPretransitive.of_embedding · cited by 1IsPretransitive.of_embedd…DFunLike.coe · cited by 62936DFunLike.coeAddGroup · cited by 4410AddGroupHVAdd.hVAdd · cited by 1820HVAdd.hVAddFunction.Embedding · cited by 988Function.EmbeddingAddAction · cited by 820AddActionEmbedding.vadd_applyCITED BYCITES

Cites5

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Cited by4

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