Theorems · Theorem · number theory
Nat.fib_two_mul_add_two
∀ (n : ℕ), Nat.fib (2 * n + 2) = Nat.fib (n + 1) * (2 * Nat.fib n + Nat.fib (n + 1))
- Defined in
- Mathlib.Data.Nat.Fib.Basic
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 39 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites12
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- mul_commproof · cited by 2,262
- le_transproof · cited by 985
- Nat.cast_addproof · cited by 586
- Nat.cast_mulproof · cited by 309
- Nat.cast_powproof · cited by 131
- Nat.fibstatement and proof · cited by 74
- two_posproof · cited by 68
- Nat.cast_subproof · cited by 54
- Nat.fib_add_twoproof · cited by 13
- Nat.fib_le_fib_succproof · cited by 3
- Nat.fib_two_mulproof · cited by 2
- Nat.fib_two_mul_add_oneproof · cited by 2
Cited by1
Results whose statement or proof uses this declaration.
- Nat.fastFibAux_eqproof · cited by 2