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Theorems · Theorem · order theory

BooleanSubalgebra.map_inf_le

∀ {α : Type u_2} {β : Type u_3} [inst : BooleanAlgebra α] [inst_1 : BooleanAlgebra β] (L M : BooleanSubalgebra α)
  (f : BoundedLatticeHom α β), 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
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BooleanAlgebra · cited by 300BooleanAlgebraBoundedLatticeHom · cited by 185BoundedLatticeHomBooleanSubalgebra · cited by 104BooleanSubalgebraBooleanSubalgebra.map · cited by 20BooleanSubalgebra.mapMonotone.map_inf_le · cited by 19Monotone.map_inf_leBooleanSubalgebra.map_mono · cited by 1BooleanSubalgebra.map_monoBooleanSubalgebra.map_inf_leCITED BYCITES

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