Theorems · Theorem · group theory
AddAction.orbitRel_addSubgroupOf
∀ {G : Type u_1} {α : Type u_2} [inst : AddGroup G] [inst_1 : AddAction G α] (H K : AddSubgroup G),
AddAction.orbitRel (↥(H.addSubgroupOf K)) α = AddAction.orbitRel (↥(H ⊓ K)) α- Defined in
- Mathlib.GroupTheory.GroupAction.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 67 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites16
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- AddGroupstatement and proof · cited by 4,410
- AddSubgroupstatement and proof · cited by 3,232
- HVAdd.hVAddproof · cited by 1,820
- AddActionstatement and proof · cited by 820
- AddSubgroup.mapproof · cited by 189
- AddSubgroup.addSubgroupOfstatement and proof · cited by 87
- AddAction.orbitproof · cited by 86
- AddSubgroup.subtypeproof · cited by 82
- AddAction.orbitRelstatement and proof · cited by 47
- SetLike.coe_memproof · cited by 46
- Setoid.extproof · cited by 26
- AddAction.mem_orbitproof · cited by 14
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