Theorems · Theorem · group theory
isCancelVAdd_iff_stabilizer_eq_bot
∀ {G : Type u_1} {α : Type u_2} [inst : AddGroup G] [inst_1 : AddAction G α],
IsCancelVAdd G α ↔ ∀ (a : α), AddAction.stabilizer G a = ⊥- Defined in
- Mathlib.GroupTheory.GroupAction.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 20 from the axioms · uses propext, Quot.sound
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Cites10
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Bot.botstatement · cited by 4,720
- AddGroupstatement and proof · cited by 4,410
- AddSubgroupstatement · cited by 3,232
- HVAdd.hVAddproof · cited by 1,820
- AddActionstatement and proof · cited by 820
- AddAction.stabilizerstatement and proof · cited by 112
- AddAction.mem_stabilizer_iffproof · cited by 27
- IsCancelVAddstatement · cited by 13
- AddSubgroup.eq_bot_iff_forallproof · cited by 11
- isCancelVAdd_iff_eq_zero_of_vadd_eqproof · cited by 2
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