Theorems · Theorem · number theory
PosNum.to_nat_pos
∀ (n : PosNum), 0 < ↑n
- Defined in
- Mathlib.Data.Num.Lemmas
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 23 from the axioms · uses propext
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites3
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
Cited by4
Results whose statement or proof uses this declaration.
- PosNum.succ'_pred'proof · cited by 5
- Num.cmp_to_natproof · cited by 2
- PosNum.one_le_castproof · cited by 1
- Num.ppred_to_natproof · cited by 0