Theorems · Inductive type · order theory
LinOrd
Type (u_2 + 1)
The category of linear orders.
This will get reused to define OrderType.
- Defined in
- Mathlib.Order.Defs.LinearOrder
- Cited by
- 46 results in Mathlib
- Foundations
- Depth 0 from the axioms · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites0
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
Nothing in Mathlib beyond the foundations.
Cited by75
Results whose statement or proof uses this declaration.
- LinOrd.carrierstatement and proof · cited by 48
- NonemptyFinLinOrd.toLinOrdstatement · cited by 19
- LinOrd.Hom.homstatement and proof · cited by 18
- LinOrd.ofHomstatement · cited by 8
- LinOrd.dualstatement and proof · cited by 5
- SimplexCategory.toCatproof · cited by 4
- NonemptyFinLinOrd.hom_extstatement · cited by 3
- OrderType.inductionOnproof · cited by 3
- LinOrd.Homstatement · cited by 2
- LinOrd.dualEquivstatement and proof · cited by 2
- LinOrd.Hom.extstatement and proof · cited by 2
- LinOrd.Hom.hom'statement and proof · cited by 2