Theorems · Theorem · group theory
SubAddAction.ofFixingAddSubgroup_of_eq_apply
∀ {M : Type u_1} {α : Type u_2} [inst : AddGroup M] [inst_1 : AddAction M α] {s t : Set α} {hst : s = t}
(x : ↥(SubAddAction.ofFixingAddSubgroup M s)), ↑((SubAddAction.ofFixingAddSubgroup_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
- AddGroupstatement and proof · cited by 4,410
- AddSubgroupstatement · cited by 3,232
- AddEquivstatement · cited by 1,087
- AddActionstatement and proof · cited by 820
- SubAddActionstatement · cited by 86
- AddActionHomstatement · cited by 82
- fixingAddSubgroupstatement · cited by 50
- SubAddAction.ofFixingAddSubgroupstatement and proof · cited by 32
- AddEquiv.addSubgroupCongrstatement · cited by 6
- SubAddAction.ofFixingAddSubgroup_of_eqstatement · cited by 2
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