Theorems · Theorem · group theory
AddAction.stabilizer_finset_empty
∀ {G : Type u_1} {α : Type u_3} [inst : AddGroup G] [inst_1 : AddAction G α] [inst_2 : DecidableEq α],
AddAction.stabilizer G ∅ = ⊤- Defined in
- Mathlib.Algebra.Pointwise.Stabilizer
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 80 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- AddGroupAddActionDecidableEq
Around this declaration
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Cites10
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Finsetstatement · cited by 13,712
- Top.topstatement · cited by 9,680
- AddGroupstatement and proof · cited by 4,410
- AddSubgroupstatement · cited by 3,232
- AddActionstatement and proof · cited by 820
- AddAction.stabilizerstatement · cited by 112
- Set.eq_univ_of_forallproof · cited by 80
- Finset.addActionFinsetstatement · cited by 10
- AddSubgroup.coe_eq_univproof · cited by 6
- Finset.vadd_finset_emptyproof · cited by 1
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