Theorems · Theorem · number theory
Nat.count_nth_succ_of_infinite
∀ {p : ℕ → Prop} [inst : DecidablePred p], (Set.ofPred p).Infinite → ∀ (n : ℕ), Nat.count p (Nat.nth p n + 1) = n + 1- Defined in
- Mathlib.Data.Nat.Nth
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 95 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- DecidablePred
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Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
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
- Set.Infinitestatement and proof · cited by 263
- Nat.nthstatement and proof · cited by 84
- Nat.countstatement · cited by 55
- Nat.count_nth_of_infiniteproof · cited by 3
- Nat.nth_mem_of_infiniteproof · cited by 3
- Nat.count_succproof · cited by 3
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