Theorems · Definition · order theory

OrderIso.equivClosureOperator

{α : Type u_4} →
  {β : Type u_5} → [inst : Preorder α] → [inst_1 : Preorder β] → α ≃o β → ClosureOperator α ≃ ClosureOperator β

Conjugating ClosureOperators on α and on β by a fixed isomorphism e : α ≃o β gives an equivalence ClosureOperator α ≃ ClosureOperator β.

Defined in

Mathlib.Order.Closure

Cited by

2 results in Mathlib

Foundations

Depth 35 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

PreorderPreorder