Theorems · Theorem · number theory
Nat.count_monotone
∀ (p : ℕ → Prop) [inst : DecidablePred p], Monotone (Nat.count p)
- Defined in
- Mathlib.Data.Nat.Count
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 53 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- DecidablePred
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites3
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Monotonestatement · cited by 1,397
- Nat.countstatement · cited by 55
- monotone_nat_of_le_succproof · cited by 45
Cited by5
Results whose statement or proof uses this declaration.
- Nat.nth_lt_of_lt_countproof · cited by 2
- Nat.count_strict_monoproof · cited by 2
- Nat.monotone_primeCounting'proof · cited by 2
- Nat.giCountNthproof · cited by 1
- Nat.lt_of_count_lt_countproof · cited by 1