Theorems · Theorem · order theory
BooleanSubalgebra.gc_map_comap
∀ {α : Type u_2} {β : Type u_3} [inst : BooleanAlgebra α] [inst_1 : BooleanAlgebra β] (f : BoundedLatticeHom α β),
GaloisConnection (BooleanSubalgebra.map f) (BooleanSubalgebra.comap f)- Defined in
- Mathlib.Order.BooleanSubalgebra
- Cited by
- 6 results in Mathlib
- Foundations
- Depth 65 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- BooleanAlgebraBooleanAlgebra
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
- GaloisConnectionstatement · cited by 253
- BoundedLatticeHomstatement and proof · cited by 185
- BooleanSubalgebrastatement and proof · cited by 104
- BooleanSubalgebra.mapstatement · cited by 20
- BooleanSubalgebra.comapstatement · cited by 14
- BooleanSubalgebra.map_le_iff_le_comapproof · cited by 1
Cited by6
Results whose statement or proof uses this declaration.
- BooleanSubalgebra.map_supproof · cited by 0
- BooleanSubalgebra.map_botproof · cited by 0
- BooleanSubalgebra.comap_iInfproof · cited by 0
- BooleanSubalgebra.map_iSupproof · cited by 0
- BooleanSubalgebra.comap_infproof · cited by 0
- BooleanSubalgebra.comap_topproof · cited by 0