Theorems · Theorem · group theory
SubAddAction.mem_ofFixingAddSubgroup_iff
∀ (M : Type u_1) {α : Type u_2} [inst : AddGroup M] [inst_1 : AddAction M α] {s : Set α} {x : α},
x ∈ SubAddAction.ofFixingAddSubgroup M s ↔ x ∉ s- Cited by
- 2 results in Mathlib
- Foundations
- Depth 25 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
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
- AddActionstatement and proof · cited by 820
- SubAddActionstatement · cited by 86
- fixingAddSubgroupstatement · cited by 50
- SubAddAction.ofFixingAddSubgroupstatement · cited by 32
Cited by2
Results whose statement or proof uses this declaration.
- SubAddAction.ofFixingAddSubgroupEmpty_equivariantMap_bijectiveproof · cited by 1
- AddAction.isMultiplyPreprimitive_congrproof · cited by 0