Theorems · Theorem · number theory
Num.cmp_to_nat
∀ (m n : Num), Ordering.casesOn (m.cmp n) (↑m < ↑n) (m = n) (↑n < ↑m)
- Defined in
- Mathlib.Data.Num.Lemmas
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 35 from the axioms · uses propext
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- PosNumproof · cited by 171
- Numstatement and proof · cited by 117
- castPosNumproof · cited by 74
- castNumstatement and proof · cited by 72
- PosNum.cmpproof · cited by 9
- Num.cmpstatement and proof · cited by 6
- PosNum.to_nat_posproof · cited by 4
- PosNum.cmp_to_natproof · cited by 4
Cited by2
Results whose statement or proof uses this declaration.
- Num.lt_to_natproof · cited by 2
- Num.cmp_eqproof · cited by 0