Theorems · Theorem · number theory
Nat.find_pos
∀ {p : ℕ → Prop} [inst : DecidablePred p] (h : ∃ n, p n), 0 < Nat.find h ↔ ¬p 0- Defined in
- Mathlib.Data.Nat.Find
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 69 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.
- Iff.notproof · cited by 489
- Nat.findstatement · cited by 139
- Nat.find_eq_zeroproof · cited by 6
Cited by3
Results whose statement or proof uses this declaration.
- MeasureTheory.Measure.haar.addIndex_posproof · cited by 5
- MeasureTheory.Measure.haar.index_posproof · cited by 5
- exists_pow_btwnproof · cited by 1