Theorems · Theorem · group theory
MulAction.orbitRel_subgroupOf
∀ {G : Type u_1} {α : Type u_2} [inst : Group G] [inst_1 : MulAction G α] (H K : Subgroup G),
MulAction.orbitRel (↥(H.subgroupOf K)) α = MulAction.orbitRel (↥(H ⊓ K)) α- Defined in
- Mathlib.GroupTheory.GroupAction.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 68 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites11
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Groupstatement and proof · cited by 6,238
- Subgroupstatement and proof · cited by 3,593
- MulActionstatement and proof · cited by 1,294
- Subgroup.mapproof · cited by 301
- Subgroup.subtypeproof · cited by 185
- Subgroup.subgroupOfstatement and proof · cited by 122
- MulAction.orbitproof · cited by 114
- MulAction.orbitRelstatement and proof · cited by 114
- Setoid.extproof · cited by 26
- MulAction.mem_orbitproof · cited by 10
- Subgroup.subgroupOf_map_subtypeproof · cited by 10
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