Theorems · Theorem · group theory
AddAction.IsBlock.singleton
∀ {G : Type u_1} {X : Type u_2} [inst : VAdd G X] {a : X}, AddAction.IsBlock G {a}A singleton is a block.
- Defined in
- Mathlib.GroupTheory.GroupAction.Blocks
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 61 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- VAdd
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement · cited by 53,352
- Disjointproof · cited by 2,201
- VAddstatement and proof · cited by 616
- Set.mem_singleton_iffproof · cited by 172
- AddAction.IsBlockstatement · cited by 65
- Set.singleton_eq_singleton_iffproof · cited by 13
- Set.disjoint_singleton_leftproof · cited by 11
- Set.vadd_set_singletonproof · cited by 6
Cited by1
Results whose statement or proof uses this declaration.
- AddAction.IsBlock.of_subsingletonproof · cited by 1