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Theorems · Theorem · order theory

BooleanSubalgebra.map_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 α),
  BooleanSubalgebra.map f (⨆ i, L i) = ⨆ i, BooleanSubalgebra.map f (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 104BooleanSubalgebraGaloisConnection.l_iSup · cited by 78GaloisConnection.l_iSupBooleanSubalgebra.map · cited by 20BooleanSubalgebra.mapBooleanSubalgebra.gc_map_comap · cited by 6BooleanSubalgebra.gc_map_…BooleanSubalgebra.map_iSupCITED BYCITES

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