Theorems · Theorem · order theory
NonemptyFinLinOrd.id_apply
∀ (X : NonemptyFinLinOrd) (x : ↑X.toLinOrd), (CategoryTheory.ConcreteCategory.hom (CategoryTheory.CategoryStruct.id X)) x = x
- Defined in
- Mathlib.Order.Category.NonemptyFinLinOrd
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 27 from the axioms · uses propext, Quot.sound
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Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- CategoryTheory.CategoryStruct.idstatement · cited by 6,235
- CategoryTheory.ConcreteCategory.homstatement · cited by 4,022
- OrderHomstatement · cited by 934
- CategoryTheory.id_applyproof · cited by 100
- LinOrd.carrierstatement and proof · cited by 48
- NonemptyFinLinOrdstatement and proof · cited by 27
- NonemptyFinLinOrd.toLinOrdstatement and proof · cited by 19
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