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Theorems · Theorem · order theory

BooleanSubalgebra.le_comap_iSup

∀ {ι : Sort u_1} {α : Type u_2} {β : Type u_3} [inst : BooleanAlgebra α] [inst_1 : BooleanAlgebra β]
  (f : BoundedLatticeHom α β) (L : ι → BooleanSubalgebra β),
  ⨆ i, BooleanSubalgebra.comap f (L i) ≤ BooleanSubalgebra.comap f (⨆ i, L i)
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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iSup · cited by 2415iSupBooleanAlgebra · cited by 300BooleanAlgebraBoundedLatticeHom · cited by 185BoundedLatticeHomBooleanSubalgebra · cited by 104BooleanSubalgebraBooleanSubalgebra.comap · cited by 14BooleanSubalgebra.comapMonotone.le_map_iSup · cited by 8Monotone.le_map_iSupBooleanSubalgebra.comap_mono · cited by 2BooleanSubalgebra.comap_m…BooleanSubalgebra.le_comap_iS…CITED BYCITES

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