Mathlib Map

Theorems · Theorem · order theory

cmp_compares

∀ {α : Type u_1} [inst : LinearOrder α] (a b : α), (cmp a b).Compares a b
Defined in
Mathlib.Order.Compare
Cited by
5 results in Mathlib
Foundations
Depth 11 from the axioms · uses propext
Assumes
LinearOrder
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Around this declaration

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

cmp_eq_lt_iff · cited by 5cmp_eq_lt_iffcmp_eq_gt_iff · cited by 3cmp_eq_gt_iffStrictMonoOn.cmp_map_eq · cited by 3StrictMonoOn.cmp_map_eqcmp_eq_eq_iff · cited by 3cmp_eq_eq_iffOrdering.Compares.cmp_eq · cited by 1Compares.cmp_eqLinearOrder · cited by 8572LinearOrderlt_trichotomy · cited by 178lt_trichotomyLT.lt.not_gt · cited by 54lt.not_gtcmp · cited by 43cmpOrdering.Compares · cited by 31Ordering.Comparescmp_comparesCITED BYCITES

Cites5

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

Cited by5

Results whose statement or proof uses this declaration.