Theorems · Theorem · number theory
Nat.nth_strictMono
∀ {p : ℕ → Prop}, (Set.ofPred p).Infinite → StrictMono (Nat.nth p)- Defined in
- Mathlib.Data.Nat.Nth
- Cited by
- 6 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.
Cites9
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
- StrictMonostatement and proof · cited by 706
- Set.Infinitestatement and proof · cited by 263
- Nat.nthstatement · cited by 84
- StrictMono.compproof · cited by 36
- OrderIso.strictMonoproof · cited by 26
- Subtype.strictMono_coeproof · cited by 12
- Nat.Subtype.orderIsoOfNatproof · cited by 4
- Nat.nth_eq_orderIsoOfNatproof · cited by 2
Cited by6
Results whose statement or proof uses this declaration.
- Nat.nth_le_nthproof · cited by 2
- Nat.nth_lt_nthproof · cited by 2
- Nat.le_nthproof · cited by 1
- Nat.nth_monotoneproof · cited by 0
- Nat.add_two_le_nth_primeproof · cited by 0
- Nat.nth_injectiveproof · cited by 0