Theorems · Theorem · group theory
SubMulAction.ofFixingSubgroup_of_eq_apply
∀ {M : Type u_1} {α : Type u_2} [inst : Group M] [inst_1 : MulAction M α] {s t : Set α} {hst : s = t}
(x : ↥(SubMulAction.ofFixingSubgroup M s)), ↑((SubMulAction.ofFixingSubgroup_of_eq M hst) x) = ↑x- Cited by
- 0 results in Mathlib
- Foundations
- Depth 28 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites12
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
- Subgroupstatement · cited by 3,593
- MulActionstatement and proof · cited by 1,294
- MulEquivstatement · cited by 1,142
- MulActionHomstatement · cited by 124
- SubMulActionstatement · cited by 120
- fixingSubgroupstatement · cited by 83
- SubMulAction.ofFixingSubgroupstatement and proof · cited by 43
- MulEquiv.subgroupCongrstatement · cited by 10
- SubMulAction.ofFixingSubgroup_of_eqstatement · cited by 2
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