Mathlib Map

Theorems · Definition · group theory

SubMulAction.ofFixingSubgroup_equivariantMap

(M : Type u_1) →
  {α : Type u_2} →
    [inst : Group M] →
      [inst_1 : MulAction M α] → (s : Set α) → ↥(SubMulAction.ofFixingSubgroup M s) →ₑ[⇑(fixingSubgroup M s).subtype] α

The identity map of the SubMulAction of the fixingSubgroup into the ambient set, as an equivariant map.

Defined in
Mathlib.GroupTheory.GroupAction.SubMulAction.OfFixingSubgroup
Cited by
2 results in Mathlib
Foundations
Depth 26 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
GroupMulAction
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Around this declaration

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

SubMulAction.ofFixingSubgroup_equivariantMap_injective · cited by 1SubMulAction.ofFixingSubg…SubMulAction.ofFixingSubgroupEmpty_equivariantMap_bijective · cited by 1SubMulAction.ofFixingSubg…DFunLike.coe · cited by 62936DFunLike.coeSet · cited by 53352SetGroup · cited by 6238GroupMonoidHom · cited by 3629MonoidHomSubgroup · cited by 3593SubgroupMulAction · cited by 1294MulActionSubgroup.subtype · cited by 185Subgroup.subtypeMulActionHom · cited by 124MulActionHomSubMulAction · cited by 120SubMulActionfixingSubgroup · cited by 83fixingSubgroupSubMulAction.ofFixingSubgroup · cited by 43SubMulAction.ofFixingSubg…SubMulAction.ofFixingSubgroup…CITED BYCITES

Cites11

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by2

Results whose statement or proof uses this declaration.