Theorems · Theorem · number theory
Num.ofZNum_toNat
∀ (n : ZNum), ↑(Num.ofZNum n) = (↑n).toNat
- Defined in
- Mathlib.Data.Num.ZNum
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 52 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites11
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- PosNumproof · cited by 171
- castPosNumproof · cited by 74
- ZNumstatement and proof · cited by 73
- castNumstatement and proof · cited by 72
- castZNumstatement and proof · cited by 41
- PosNum.pred'proof · cited by 18
- PosNum.cast_to_natproof · cited by 15
- Num.succ'_to_natproof · cited by 8
- PosNum.to_nat_to_intproof · cited by 7
- PosNum.succ'_pred'proof · cited by 5
- Num.ofZNumstatement and proof · cited by 3
Cited by2
Results whose statement or proof uses this declaration.
- Num.cast_ofZNumproof · cited by 0
- Num.sub_to_natproof · cited by 0