Theorems · Theorem · group theory
AddAction.IsBlock.disjoint_vadd_vadd_set
∀ {G : Type u_1} {X : Type u_2} [inst : VAdd G X] {B : Set X} {s : Set G} {g : G},
AddAction.IsBlock G B → ¬g +ᵥ B ⊆ s +ᵥ B → Disjoint (s +ᵥ B) (g +ᵥ B)- Defined in
- Mathlib.GroupTheory.GroupAction.Blocks
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 62 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- VAdd
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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
- Disjointstatement · cited by 2,201
- HVAdd.hVAddstatement and proof · cited by 1,820
- VAddstatement and proof · cited by 616
- Set.vaddSetstatement · cited by 403
- Disjoint.symmproof · cited by 125
- Set.vaddstatement · cited by 72
- AddAction.IsBlockstatement and proof · cited by 65
- AddAction.IsBlock.disjoint_vadd_set_vaddproof · cited by 2
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