Theorems · Theorem · number theory
Nat.nth_mem_of_infinite
∀ {p : ℕ → Prop}, (Set.ofPred p).Infinite → ∀ (n : ℕ), p (Nat.nth p n)- Defined in
- Mathlib.Data.Nat.Nth
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 87 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Set.ofPredstatement and proof · cited by 6,101
- Eq.leproof · cited by 605
- Set.Infinitestatement and proof · cited by 263
- Set.range_subset_iffproof · cited by 99
- Nat.nthstatement · cited by 84
- Nat.range_nth_of_infiniteproof · cited by 3
Cited by3
Results whose statement or proof uses this declaration.
- Nat.nth_memproof · cited by 9
- Nat.count_nth_succ_of_infiniteproof · cited by 0
- Nat.prime_nth_primeproof · cited by 0