Theorems · Theorem · logic and foundations
exists_lt_ack_of_nat_primrec
∀ {f : ℕ → ℕ}, Nat.Primrec f → ∃ m, ∀ (n : ℕ), f n < ack m nIf f is primitive recursive, there exists m such that f n < ack m n for all n.
- Defined in
- Mathlib.Computability.Ackermann
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 71 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites38
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- LE.le.transproof · cited by 3,151
- LT.lt.leproof · cited by 2,189
- le_reflproof · cited by 2,061
- le_rflproof · cited by 1,558
- LE.le.trans_ltproof · cited by 795
- add_assocproof · cited by 746
- LT.lt.trans_leproof · cited by 678
- add_le_addproof · cited by 666
- LT.lt.transproof · cited by 370
- le_max_leftproof · cited by 215
- le_max_rightproof · cited by 205
- lt_or_geproof · cited by 182
Cited by1
Results whose statement or proof uses this declaration.
- not_nat_primrec_ack_selfproof · cited by 1