Theorems · Theorem · number theory
PosNum.cmp_to_nat
∀ (m n : PosNum), Ordering.casesOn (m.cmp n) (↑m < ↑n) (m = n) (↑n < ↑m)
- Defined in
- Mathlib.Data.Num.Lemmas
- Cited by
- 4 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.
Cites4
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- PosNumstatement and proof · cited by 171
- castPosNumstatement · cited by 74
- PosNum.brecOnproof · cited by 16
- PosNum.cmpstatement · cited by 9
Cited by4
Results whose statement or proof uses this declaration.
- Num.cmp_to_natproof · cited by 2
- PosNum.lt_to_natproof · cited by 2
- ZNum.cmp_to_intproof · cited by 1
- PosNum.cmp_eqproof · cited by 0