Theorems · Theorem · order theory
BooleanSubalgebra.inf_mem
∀ {α : Type u_2} [inst : BooleanAlgebra α] {L : BooleanSubalgebra α} {a b : α}, a ∈ L → b ∈ L → a ⊓ b ∈ L- Defined in
- Mathlib.Order.BooleanSubalgebra
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 60 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- BooleanAlgebra
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites3
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- BooleanAlgebrastatement and proof · cited by 300
- BooleanSubalgebrastatement and proof · cited by 104
- BooleanSubalgebra.infClosedproof · cited by 7
Cited by1
Results whose statement or proof uses this declaration.
- Topology.IsConstructible.interproof · cited by 1