Theorems · Theorem · group theory
AddAction.IsBlock.disjoint_vadd_right
∀ {M : Type u_1} {X : Type u_2} [inst : AddMonoid M] [inst_1 : AddAction M X] {B : Set X} {s : Set M},
AddAction.IsBlock M B → ¬B ⊆ s +ᵥ B → Disjoint B (s +ᵥ B)- Defined in
- Mathlib.GroupTheory.GroupAction.Blocks
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 62 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
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
- AddMonoidstatement and proof · cited by 2,864
- Disjointstatement and proof · cited by 2,201
- HVAdd.hVAddstatement and proof · cited by 1,820
- AddActionstatement and proof · cited by 820
- zero_vaddproof · cited by 95
- Set.vaddstatement · cited by 72
- AddAction.IsBlockstatement and proof · cited by 65
- AddAction.IsBlock.disjoint_vadd_set_vaddproof · cited by 2
Cited by1
Results whose statement or proof uses this declaration.
- AddAction.IsBlock.disjoint_vadd_leftproof · cited by 0