Theorems · Theorem · group theory
SubAddAction.mem_ofStabilizer_iff
∀ (G : Type u_1) [inst : AddGroup G] {α : Type u_2} [inst_1 : AddAction G α] (a : α) {x : α},
x ∈ SubAddAction.ofStabilizer G a ↔ x ≠ a- Cited by
- 3 results in Mathlib
- Foundations
- Depth 24 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
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 · cited by 3,232
- AddActionstatement and proof · cited by 820
- AddAction.stabilizerstatement · cited by 112
- SubAddActionstatement · cited by 86
- SubAddAction.ofStabilizerstatement · cited by 29
Cited by3
Results whose statement or proof uses this declaration.
- SubAddAction.nat_card_ofStabilizer_add_zero_eqproof · cited by 1
- SubAddAction.exists_vadd_of_last_eqproof · cited by 1
- SubAddAction.fixingAddSubgroup_of_insertproof · cited by 0