Mathlib Map

Theorems · Definition · order theory

NonemptyInterval.toProd

{α : Type u_6} → [inst : LE α] → NonemptyInterval α → α × α
Defined in
Mathlib.Order.Interval.Basic
Cited by
62 results in Mathlib
Foundations
Depth 2 from the axioms · uses no axioms
Assumes
LE
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

NonemptyInterval.dual · cited by 7NonemptyInterval.dualNonemptyInterval.length · cited by 7NonemptyInterval.lengthNonemptyInterval.map · cited by 7NonemptyInterval.mapNonemptyInterval.fst_le_snd · cited by 6NonemptyInterval.fst_le_s…NonemptyInterval.toDualProd · cited by 5NonemptyInterval.toDualPr…NonemptyInterval.map₂ · cited by 4NonemptyInterval.map₂NonemptyInterval.coeHom · cited by 3NonemptyInterval.coeHomNonemptyInterval.coe_pure · cited by 3NonemptyInterval.coe_pureNonemptyInterval.ext · cited by 3NonemptyInterval.extNonemptyInterval.length_add · cited by 3NonemptyInterval.length_a…NonemptyInterval.ext_iff · cited by 2NonemptyInterval.ext_iffNonemptyInterval.length_neg · cited by 2NonemptyInterval.length_n…NonemptyInterval.length_pure · cited by 2NonemptyInterval.length_p…NonemptyInterval.toProd_injective · cited by 1NonemptyInterval.toProd_i…NonemptyInterval.add_eq_zero_iff · cited by 1NonemptyInterval.add_eq_z…NonemptyInterval · cited by 139NonemptyIntervalNonemptyInterval.toProdCITED BYCITES

Cites1

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by68

Results whose statement or proof uses this declaration.