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Theorems · Theorem · order theory

BooleanSubalgebra.le_comap_sup

∀ {α : Type u_2} {β : Type u_3} [inst : BooleanAlgebra α] [inst_1 : BooleanAlgebra β] (L M : BooleanSubalgebra β)
  (f : BoundedLatticeHom α β),
  BooleanSubalgebra.comap f L ⊔ BooleanSubalgebra.comap f M ≤ BooleanSubalgebra.comap f (L ⊔ 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

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BooleanAlgebra · cited by 300BooleanAlgebraBoundedLatticeHom · cited by 185BoundedLatticeHomBooleanSubalgebra · cited by 104BooleanSubalgebraBooleanSubalgebra.comap · cited by 14BooleanSubalgebra.comapMonotone.le_map_sup · cited by 11Monotone.le_map_supBooleanSubalgebra.comap_mono · cited by 2BooleanSubalgebra.comap_m…BooleanSubalgebra.le_comap_supCITED BYCITES

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