Theorems · Theorem · group theory
SubMulAction.ofFixingSubgroup_insert_map_apply
∀ {M : Type u_1} {α : Type u_2} [inst : Group M] [inst_1 : MulAction M α] {a : α}
{s : Set ↥(SubMulAction.ofStabilizer M a)} {x : α}
(hx : x ∈ SubMulAction.ofFixingSubgroup M (insert a (Subtype.val '' s))),
↑↑((SubMulAction.ofFixingSubgroup_insert_map a s) ⟨x, hx⟩) = x- Cited by
- 0 results in Mathlib
- Foundations
- Depth 33 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites15
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- Setstatement and proof · cited by 53,352
- Groupstatement and proof · cited by 6,238
- Set.imagestatement and proof · cited by 5,609
- 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
- fixingSubgroupstatement · cited by 83
- SubMulAction.ofFixingSubgroupstatement and proof · cited by 43
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