Theorems · Definition · order theory
ClosureOperator.id
(α : Type u_1) → [inst : Preorder α] → ClosureOperator α
The identity function as a closure operator.
- Defined in
- Mathlib.Order.Closure
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 10 from the axioms · uses propext
- Assumes
- Preorder
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Preorderstatement and proof · cited by 7,952
- le_rflproof · cited by 1,558
- OrderHomproof · cited by 934
- ClosureOperatorstatement · cited by 371
- OrderHom.idproof · cited by 37
Cited by2
Results whose statement or proof uses this declaration.
- ClosureOperator.id_applystatement and proof · cited by 0
- ClosureOperator.id_isClosedstatement and proof · cited by 0