Theorems · Theorem · number theory
Nat.pair_unpair
∀ (n : ℕ), Nat.pair (Nat.unpair n).1 (Nat.unpair n).2 = n
- Defined in
- Mathlib.Data.Nat.Pairing
- Cited by
- 8 results in Mathlib
- Foundations
- Depth 55 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- le_of_not_gtproof · cited by 430
- LE.le.not_gtproof · cited by 189
- Nat.unpairstatement · cited by 67
- Nat.pairstatement and proof · cited by 62
- Nat.sqrt_le_addproof · cited by 2
Cited by9
Results whose statement or proof uses this declaration.
- Nat.Primrec.idproof · cited by 6
- Nat.pairEquivproof · cited by 5
- Nat.unpair_right_leproof · cited by 5
- Primrec₂.natPairproof · cited by 4
- Nat.Partrec.Code.primrec_evalnproof · cited by 3
- Nat.Partrec.Code.eval_idproof · cited by 2
- Nat.unpair_add_leproof · cited by 1
- Nat.pair_eq_of_unpair_eqproof · cited by 1
- Nat.Partrec.Code.evaln_completeproof · cited by 1