Theorems · Definition · number theory
Nat.greatestFib
ℕ → ℕ
The greatest index of a Fibonacci number less than or equal to n.
- Defined in
- Mathlib.Data.Nat.Fib.Zeckendorf
- Cited by
- 16 results in Mathlib
- Foundations
- Depth 16 from the axioms · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites2
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Nat.fibproof · cited by 74
- Nat.findGreatestproof · cited by 25
Cited by17
Results whose statement or proof uses this declaration.
- Nat.zeckendorfproof · cited by 7
- Nat.zeckendorf_succstatement · cited by 3
- Nat.fib_greatestFib_lestatement · cited by 2
- Nat.greatestFib_ltstatement · cited by 2
- Nat.le_greatestFibstatement and proof · cited by 2
- Nat.lt_fib_greatestFib_add_onestatement and proof · cited by 1
- Nat.zeckendorf.inductstatement and proof · cited by 1
- Nat.zeckendorf_of_posstatement and proof · cited by 1
- Nat.greatestFib_eq_zerostatement and proof · cited by 1
- Nat.greatestFib_sub_fib_greatestFib_le_greatestFibstatement and proof · cited by 1
- Nat.isZeckendorfRep_zeckendorfproof · cited by 0
- Nat.sum_zeckendorf_fibproof · cited by 0