Theorems · Theorem · group theory
AddAction.IsBlock.disjoint_vadd_of_ne
∀ {G : Type u_1} [inst : AddGroup G] {X : Type u_2} [inst_1 : AddAction G X] {B : Set X},
AddAction.IsBlock G B → ∀ ⦃g : G⦄, g +ᵥ B ≠ B → Disjoint (g +ᵥ B) BAlias of the forward direction of AddAction.isBlock_iff_disjoint_vadd_of_ne.
- Defined in
- Mathlib.GroupTheory.GroupAction.Blocks
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 63 from the axioms · uses propext, Classical.choice, 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
- Disjointstatement · cited by 2,201
- HVAdd.hVAddstatement · cited by 1,820
- AddActionstatement and proof · cited by 820
- Set.vaddSetstatement · cited by 403
- AddAction.IsBlockstatement · cited by 65
- AddAction.isBlock_iff_disjoint_vadd_of_neproof · cited by 3
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