Theorems · Definition · number theory
PosNum.pred
PosNum → PosNum
The predecessor of a PosNum as a PosNum. This means that pred 1 = 1.
- Defined in
- Mathlib.Data.Num.Basic
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 7 from the axioms · uses no axioms
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
- Num.casesOnproof · cited by 20
- PosNum.pred'proof · cited by 18
Cited by1
Results whose statement or proof uses this declaration.
- PosNum.pred_to_natstatement · cited by 0