Theorems · Theorem · number theory
Nat.range_nth_of_infinite
∀ {p : ℕ → Prop}, (Set.ofPred p).Infinite → Set.range (Nat.nth p) = Set.ofPred p- Defined in
- Mathlib.Data.Nat.Nth
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 86 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement · cited by 53,352
- Set.Elemproof · cited by 7,166
- Set.ofPredstatement and proof · cited by 6,101
- Set.rangestatement and proof · cited by 4,705
- Infiniteproof · cited by 352
- Set.Infinitestatement and proof · cited by 263
- Nat.nthstatement · cited by 84
- Set.Infinite.to_subtypeproof · cited by 19
- Nat.nth_eq_orderIsoOfNatproof · cited by 2
- Nat.Subtype.coe_comp_ofNat_rangeproof · cited by 2
Cited by3
Results whose statement or proof uses this declaration.
- Nat.exists_lt_card_nth_eqproof · cited by 3
- Nat.nth_mem_of_infiniteproof · cited by 3
- Nat.range_nth_subsetproof · cited by 0