Theorems · Theorem · number theory
PosNum.lt_iff_cmp
∀ {m n : PosNum}, m < n ↔ m.cmp n = Ordering.lt- Defined in
- Mathlib.Data.Num.Lemmas
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 34 from the axioms · uses propext
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites2
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- PosNumstatement and proof · cited by 171
- PosNum.cmpstatement · cited by 9
Cited by1
Results whose statement or proof uses this declaration.
- PosNum.le_iff_cmpproof · cited by 0