Theorems · Theorem · order theory
NonemptyFinLinOrd.mk.inj
∀ {toLinOrd : LinOrd} {nonempty : Nonempty ↑toLinOrd} {fintype : Fintype ↑toLinOrd} {toLinOrd_1 : LinOrd}
{nonempty_1 : Nonempty ↑toLinOrd_1} {fintype_1 : Fintype ↑toLinOrd_1},
{ toLinOrd := toLinOrd, nonempty := nonempty, fintype := fintype } =
{ toLinOrd := toLinOrd_1, nonempty := nonempty_1, fintype := fintype_1 } →
toLinOrd = toLinOrd_1 ∧ fintype ≍ fintype_1- Defined in
- Mathlib.Order.Category.NonemptyFinLinOrd
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 8 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.mk.noConfusionproof · cited by 1
Cited by1
Results whose statement or proof uses this declaration.
- NonemptyFinLinOrd.mk.injEqproof · cited by 0