Theorems · Theorem · group theory
SubAddAction.ofFixingAddSubgroup_insert_map_apply
∀ {M : Type u_1} {α : Type u_2} [inst : AddGroup M] [inst_1 : AddAction M α] {a : α}
{s : Set ↥(SubAddAction.ofStabilizer M a)} {x : α}
(hx : x ∈ SubAddAction.ofFixingAddSubgroup M (insert a (Subtype.val '' s))),
↑↑((SubAddAction.ofFixingAddSubgroup_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
- Set.imagestatement and proof · cited by 5,609
- AddGroupstatement and proof · cited by 4,410
- AddSubgroupstatement · cited by 3,232
- AddEquivstatement · cited by 1,087
- AddActionstatement and proof · cited by 820
- AddAction.stabilizerstatement · cited by 112
- SubAddActionstatement · cited by 86
- AddActionHomstatement · cited by 82
- fixingAddSubgroupstatement · cited by 50
- SubAddAction.ofFixingAddSubgroupstatement and proof · cited by 32
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