Theorems · Theorem · group theory
SubAddAction.mem_fixingAddSubgroup_insert_iff
∀ {M : Type u_1} {α : Type u_2} [inst : AddGroup M] [inst_1 : AddAction M α] {a : α} {s : Set α} {m : M},
m ∈ fixingAddSubgroup M (insert a s) ↔ m +ᵥ a = a ∧ m ∈ fixingAddSubgroup M s- Cited by
- 0 results in Mathlib
- Foundations
- Depth 18 from the axioms · uses propext, Quot.sound
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Cites8
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
- HVAdd.hVAddstatement and proof · cited by 1,820
- AddActionstatement and proof · cited by 820
- fixingAddSubgroupstatement · cited by 50
- Set.mem_insert_iffproof · cited by 39
- mem_fixingAddSubgroup_iffproof · cited by 8
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