Theorems · Theorem · number theory
Nat.range_nth_subset
∀ {p : ℕ → Prop}, Set.range (Nat.nth p) ⊆ insert 0 (Set.ofPred p)- Defined in
- Mathlib.Data.Nat.Nth
- Cited by
- 0 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.
Cites12
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement · cited by 53,352
- Set.ofPredstatement and proof · cited by 6,101
- Set.rangestatement · cited by 4,705
- Set.Finiteproof · cited by 1,814
- Set.Infiniteproof · cited by 263
- Eq.subsetproof · cited by 124
- Set.subset_insertproof · cited by 96
- Nat.nthstatement · cited by 84
- Set.finite_or_infiniteproof · cited by 23
- Eq.trans_subsetproof · cited by 16
- Nat.range_nth_of_infiniteproof · cited by 3
- Nat.range_nth_of_finiteproof · cited by 1
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.