Theorems · Inductive type · order theory

ClosureOperator

(α : Type u_1) → [Preorder α] → Type u_1

A closure operator on the preorder α is a monotone function which is extensive (every x is less than its closure) and idempotent.

Defined in: Mathlib.Order.Closure
Cited by: 371 results in Mathlib
Foundations: Depth 1 from the axioms, rests on 2 definitions · uses no axioms
Assumes: Preorder

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