Theorems · Theorem · group theory
orbit_fixingAddSubgroup_compl_subset
∀ (M : Type u_1) (α : Type u_2) [inst : AddGroup M] [inst_1 : AddAction M α] {s : Set α} {a : α},
a ∈ s → AddAction.orbit (↥(fixingAddSubgroup M sᶜ)) a ⊆ s- Cited by
- 0 results in Mathlib
- Foundations
- Depth 59 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites13
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement and proof · cited by 53,352
- AddGroupstatement and proof · cited by 4,410
- AddSubgroupstatement · cited by 3,232
- Compl.complstatement and proof · cited by 2,925
- HVAdd.hVAddproof · cited by 1,820
- AddActionstatement and proof · cited by 820
- AddAction.orbitstatement and proof · cited by 86
- fixingAddSubgroupstatement and proof · cited by 50
- AddAction.mem_orbit_iffproof · cited by 7
- AddSubmonoid.mk_vaddproof · cited by 2
- mem_fixingAddSubgroup_compl_iff_movedBy_subsetproof · cited by 1
- AddAction.set_mem_fixedBy_of_movedBy_subsetproof · cited by 1
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