Theorems · Theorem · group theory
orbit_addSubgroup_zero_eq_self
∀ {α : Type u_1} [inst : AddGroup α] (s : AddSubgroup α), AddAction.orbit (↥s) 0 = ↑s- Defined in
- Mathlib.GroupTheory.Coset.Basic
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 26 from the axioms · uses propext, Quot.sound
- Assumes
- AddGroup
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 · cited by 53,352
- SetLike.coestatement · cited by 8,199
- AddGroupstatement and proof · cited by 4,410
- AddSubgroupstatement and proof · cited by 3,232
- AddAction.orbitstatement · cited by 86
- AddSubgroup.zero_memproof · cited by 23
- orbit_addSubgroup_eq_self_of_memproof · cited by 1
Cited by1
Results whose statement or proof uses this declaration.
- Nat.card_zmultiplesproof · cited by 11