Theorems · Definition · order theory
BooleanSubalgebra.subtype
{α : Type u_2} → [inst : BooleanAlgebra α] → (L : BooleanSubalgebra α) → BoundedLatticeHom (↥L) αThe natural lattice hom from a Boolean subalgebra to the original lattice.
- Defined in
- Mathlib.Order.BooleanSubalgebra
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 65 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.
Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- BooleanAlgebrastatement and proof · cited by 300
- BoundedLatticeHomstatement · cited by 185
- BooleanSubalgebrastatement and proof · cited by 104
- BooleanSubalgebra.val_botproof · cited by 0
- BooleanSubalgebra.val_infproof · cited by 0
- BooleanSubalgebra.val_supproof · cited by 0
- BooleanSubalgebra.val_topproof · cited by 0
Cited by4
Results whose statement or proof uses this declaration.
- BooleanSubalgebra.subtype_applystatement · cited by 0
- BooleanSubalgebra.coe_subtypestatement · cited by 0
- BooleanSubalgebra.subtype_comp_inclusionstatement · cited by 0
- BooleanSubalgebra.subtype_injectivestatement · cited by 0