Theorems · Definition · order theory

GaloisCoinsertion.liftSemilatticeSup

{α : Type u} →
  {β : Type v} →
    {u : α → β} →
      {l : β → α} → [inst : PartialOrder β] → [inst_1 : SemilatticeSup α] → GaloisCoinsertion l u → SemilatticeSup β

Lift the suprema along a Galois coinsertion

Defined in: Mathlib.Order.GaloisConnection.Basic
Cited by: 0 results in Mathlib
Foundations: Depth 12 from the axioms · uses propext, Quot.sound
Assumes: PartialOrder SemilatticeSup

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Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

PartialOrderstatement and proof · cited by 6,410
SemilatticeSupstatement and proof · cited by 785
GaloisCoinsertionstatement and proof · cited by 35
GaloisCoinsertion.choiceproof · cited by 1

Cited by1

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GaloisCoinsertion.liftLatticeproof · cited by 0