Theorems · Definition · number theory
Int.succ
ℤ → ℤ
Immediate successor of an integer: succ n = n + 1
- Defined in
- Mathlib.Data.Int.Init
- Cited by
- 10 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.
Cites0
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
Nothing in Mathlib beyond the foundations.
Cited by11
Results whose statement or proof uses this declaration.
- Int.neg_succstatement · cited by 3
- Int.pred_succstatement · cited by 2
- Int.lt_succ_floorstatement · cited by 2
- tendsto_ceil_right_pure_floor_add_oneproof · cited by 1
- Int.succ_neg_succstatement and proof · cited by 1
- Int.lt_succ_selfstatement · cited by 1
- Int.succ_predstatement · cited by 1
- Int.neg_predstatement · cited by 1
- Int.succ_eq_succstatement · cited by 0
- FP.nextUpPosproof · cited by 0
- Int.succ_neg_natCast_succstatement · cited by 0