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Theorems · Theorem · order theory

BooleanSubalgebra.map_le_iff_le_comap

∀ {α : Type u_2} {β : Type u_3} [inst : BooleanAlgebra α] [inst_1 : BooleanAlgebra β] {L : BooleanSubalgebra α}
  {f : BoundedLatticeHom α β} {M : BooleanSubalgebra β}, BooleanSubalgebra.map f L ≤ M ↔ L ≤ BooleanSubalgebra.comap f M
Defined in
Mathlib.Order.BooleanSubalgebra
Cited by
1 results in Mathlib
Foundations
Depth 64 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
BooleanAlgebraBooleanAlgebra
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Around this declaration

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

BooleanSubalgebra.gc_map_comap · cited by 6BooleanSubalgebra.gc_map_…BooleanAlgebra · cited by 300BooleanAlgebraSet.image_subset_iff · cited by 203Set.image_subset_iffBoundedLatticeHom · cited by 185BoundedLatticeHomBooleanSubalgebra · cited by 104BooleanSubalgebraBooleanSubalgebra.map · cited by 20BooleanSubalgebra.mapBooleanSubalgebra.comap · cited by 14BooleanSubalgebra.comapBooleanSubalgebra.map_le_iff_…CITED BYCITES

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Cited by1

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