Theorems · Theorem · number theory
Nat.pair_lt_pair_left
∀ {a₁ a₂ : ℕ} (b : ℕ), a₁ < a₂ → Nat.pair a₁ b < Nat.pair a₂ b- Defined in
- Mathlib.Data.Nat.Pairing
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 49 from the axioms · uses propext, Quot.sound
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.
- lt_of_le_of_ltproof · cited by 432
- not_ltproof · cited by 306
- Nat.pairstatement · cited by 62
- not_lt_of_gtproof · cited by 19
Cited by1
Results whose statement or proof uses this declaration.
- Nat.Partrec.Code.primrec_evalnproof · cited by 3