Theorems · Theorem · group theory
AddAction.IsBlock.orbit_of_normal
∀ {G : Type u_1} [inst : AddGroup G] {X : Type u_2} [inst_1 : AddAction G X] {N : AddSubgroup G} [N.Normal] (a : X),
AddAction.IsBlock G (AddAction.orbit (↥N) a)An orbit of a normal subgroup is a block
- Defined in
- Mathlib.GroupTheory.GroupAction.Blocks
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 64 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites12
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setproof · cited by 53,352
- AddGroupstatement and proof · cited by 4,410
- AddSubgroupstatement and proof · cited by 3,232
- Disjointproof · cited by 2,201
- HVAdd.hVAddproof · cited by 1,820
- AddActionstatement and proof · cited by 820
- AddSubgroup.Normalstatement and proof · cited by 183
- AddAction.orbitstatement and proof · cited by 86
- AddAction.IsBlockstatement · cited by 65
- AddAction.isBlock_iff_vadd_eq_or_disjointproof · cited by 3
- AddAction.orbit.eq_or_disjointproof · cited by 2
- AddAction.vadd_orbit_eq_orbit_vaddproof · cited by 1
Cited by1
Results whose statement or proof uses this declaration.
- AddAction.IsBlockSystem.of_normalproof · cited by 0