Theorems · Theorem · group theory
AddAction.IsBlock.inter
∀ {G : Type u_1} [inst : AddGroup G] {X : Type u_2} [inst_1 : AddAction G X] {B₁ B₂ : Set X},
AddAction.IsBlock G B₁ → AddAction.IsBlock G B₂ → AddAction.IsBlock G (B₁ ∩ B₂)The intersection of two blocks is a block.
- Defined in
- Mathlib.GroupTheory.GroupAction.Blocks
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 62 from the axioms · uses propext, Classical.choice, Quot.sound
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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
- Set.Nonemptyproof · cited by 2,627
- HVAdd.hVAddproof · cited by 1,820
- AddActionstatement and proof · cited by 820
- AddAction.IsBlockstatement and proof · cited by 65
- Set.vadd_set_interproof · cited by 10
- AddAction.isBlock_iff_vadd_eq_vadd_of_nonemptyproof · cited by 3
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