Theorems · Theorem · number theory
Nat.greatestFib_sub_fib_greatestFib_le_greatestFib
∀ {n : ℕ}, n ≠ 0 → (n - Nat.fib n.greatestFib).greatestFib ≤ n.greatestFib - 2- Defined in
- Mathlib.Data.Nat.Fib.Zeckendorf
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 74 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.
- zero_addproof · cited by 2,366
- Ne.bot_ltproof · cited by 116
- Nat.fibstatement and proof · cited by 74
- Nat.greatestFibstatement and proof · cited by 16
- tsub_lt_iff_rightproof · cited by 3
- Nat.fib_add_oneproof · cited by 3
- Nat.fib_greatestFib_leproof · cited by 2
- Nat.greatestFib_ltproof · cited by 2
- Nat.lt_fib_greatestFib_add_oneproof · cited by 1
Cited by1
Results whose statement or proof uses this declaration.
- Nat.isZeckendorfRep_zeckendorfproof · cited by 0