Theorems · Definition · order theory
NonemptyFinLinOrd.mk.noConfusion
{P : Sort u} →
{toLinOrd : LinOrd} →
{nonempty : Nonempty ↑toLinOrd} →
{fintype : Fintype ↑toLinOrd} →
{toLinOrd' : LinOrd} →
{nonempty' : Nonempty ↑toLinOrd'} →
{fintype' : Fintype ↑toLinOrd'} →
{ toLinOrd := toLinOrd, nonempty := nonempty, fintype := fintype } =
{ toLinOrd := toLinOrd', nonempty := nonempty', fintype := fintype' } →
(toLinOrd = toLinOrd' → fintype ≍ fintype' → P) → P- Defined in
- Mathlib.Order.Category.NonemptyFinLinOrd
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 7 from the axioms · uses no axioms
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.
- Fintypestatement and proof · cited by 7,736
- LinOrd.carrierstatement and proof · cited by 48
- LinOrdstatement and proof · cited by 46
- NonemptyFinLinOrdstatement · cited by 27
- NonemptyFinLinOrd.noConfusionproof · cited by 0
Cited by1
Results whose statement or proof uses this declaration.
- NonemptyFinLinOrd.mk.injproof · cited by 1