Theorems · Theorem · number theory
PosNum.pred_to_nat
∀ {n : PosNum}, 1 < n → ↑n.pred = (↑n).pred- Defined in
- Mathlib.Data.Num.Lemmas
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 51 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- PosNumstatement and proof · cited by 171
- Numproof · cited by 117
- castPosNumstatement and proof · cited by 74
- castNumproof · cited by 72
- Num.casesOnproof · cited by 20
- PosNum.pred'proof · cited by 18
- PosNum.pred'_to_natproof · cited by 5
- PosNum.cast_ltproof · cited by 2
- PosNum.predstatement · cited by 1
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.