Theorems · Theorem · order theory
BooleanSubalgebra.top_mem
∀ {α : Type u_2} [inst : BooleanAlgebra α] {L : BooleanSubalgebra α}, ⊤ ∈ L- Defined in
- Mathlib.Order.BooleanSubalgebra
- Cited by
- 5 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.
Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Top.topstatement · cited by 9,680
- BooleanAlgebrastatement and proof · cited by 300
- BooleanSubalgebrastatement and proof · cited by 104
- compl_botproof · cited by 8
- BooleanSubalgebra.bot_memproof · cited by 7
- BooleanSubalgebra.compl_memproof · cited by 6
Cited by5
Results whose statement or proof uses this declaration.
- Topology.IsConstructible.univproof · cited by 2
- BooleanSubalgebra.iInf_memproof · cited by 1
- BooleanSubalgebra.biInf_memproof · cited by 1
- BooleanSubalgebra.sInf_memproof · cited by 1
- BooleanSubalgebra.mk_topstatement · cited by 0