Theorems · Theorem · group theory
SubMulAction.ofStabilizer.conjMap_comp_inv_apply
∀ {G : Type u_1} [inst : Group G] {α : Type u_2} [inst_1 : MulAction G α] {g : G} {a b : α} (hg : b = g • a)
(x : ↥(SubMulAction.ofStabilizer G a)),
(SubMulAction.ofStabilizer.conjMap ⋯) ((SubMulAction.ofStabilizer.conjMap hg) x) = x- Cited by
- 0 results in Mathlib
- Foundations
- Depth 32 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites13
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- Groupstatement and proof · cited by 6,238
- Subgroupstatement · cited by 3,593
- MulActionstatement and proof · cited by 1,294
- MulEquivstatement · cited by 1,142
- MulAction.stabilizerstatement · cited by 254
- MulActionHomstatement · cited by 124
- SubMulActionstatement · cited by 120
- inv_smul_smulproof · cited by 76
- SubMulAction.ofStabilizerstatement and proof · cited by 33
- MulAction.stabilizerEquivStabilizerstatement · cited by 16
- eq_inv_smul_iffstatement · cited by 12
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