Theorems · Theorem · number theory
Nat.greatestFib_lt
∀ {m n : ℕ}, m.greatestFib < n ↔ m < Nat.fib n- Defined in
- Mathlib.Data.Nat.Fib.Zeckendorf
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 72 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Nat.fibstatement · cited by 74
- lt_iff_lt_of_le_iff_leproof · cited by 54
- Nat.greatestFibstatement · cited by 16
- Nat.le_greatestFibproof · cited by 2
Cited by2
Results whose statement or proof uses this declaration.
- Nat.lt_fib_greatestFib_add_oneproof · cited by 1
- Nat.greatestFib_sub_fib_greatestFib_le_greatestFibproof · cited by 1