Mathlib Map

Theorems · Theorem · order theory

BooleanSubalgebra.map_sup

∀ {α : Type u_2} {β : Type u_3} [inst : BooleanAlgebra α] [inst_1 : BooleanAlgebra β] (f : BoundedLatticeHom α β)
  (L M : BooleanSubalgebra α), BooleanSubalgebra.map f (L ⊔ M) = BooleanSubalgebra.map f L ⊔ BooleanSubalgebra.map f M
Defined in
Mathlib.Order.BooleanSubalgebra
Cited by
0 results in Mathlib
Foundations
Depth 67 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
BooleanAlgebraBooleanAlgebra
Mathlib docsSourceLoogleLeanSearch

Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

BooleanAlgebra · cited by 300BooleanAlgebraBoundedLatticeHom · cited by 185BoundedLatticeHomBooleanSubalgebra · cited by 104BooleanSubalgebraGaloisConnection.l_sup · cited by 81GaloisConnection.l_supBooleanSubalgebra.map · cited by 20BooleanSubalgebra.mapBooleanSubalgebra.gc_map_comap · cited by 6BooleanSubalgebra.gc_map_…BooleanSubalgebra.map_supCITED BYCITES

Cites6

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by0

Results whose statement or proof uses this declaration.

Nothing cites this yet.