Theorems · Theorem · number theory
Num.add_one
∀ (n : Num), n + 1 = n.succ
- Defined in
- Mathlib.Data.Num.Lemmas
- Cited by
- 7 results in Mathlib
- Foundations
- Depth 12 from the axioms · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
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
- PosNum.casesOnproof · cited by 17
- Num.succstatement and proof · cited by 13
Cited by7
Results whose statement or proof uses this declaration.
- Num.ofNat'_succproof · cited by 2
- ZNum.ofInt'_eqproof · cited by 1
- Turing.PartrecToTM2.tr_ret_respectsproof · cited by 1
- Turing.PartrecToTM2.pred_okproof · cited by 1
- Turing.PartrecToTM2.succ_okproof · cited by 1
- Num.add_ofNat'proof · cited by 1
- Num.succ_ofInt'proof · cited by 0