Theorems · Theorem · number theory
Int.fib_neg_natCast
∀ (n : ℕ), Int.fib (-↑n) = (-1) ^ (n + 1) * ↑(Nat.fib n)
- Defined in
- Mathlib.Data.Int.Fib.Basic
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 73 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites16
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- mul_oneproof · cited by 3,885
- one_mulproof · cited by 2,841
- Nat.cast_zeroproof · cited by 1,870
- neg_negproof · cited by 960
- pow_oneproof · cited by 894
- neg_mulproof · cited by 654
- mul_negproof · cited by 590
- one_powproof · cited by 521
- Evenproof · cited by 444
- Oddproof · cited by 364
- pow_addproof · cited by 315
- Even.neg_powproof · cited by 99
Cited by4
Results whose statement or proof uses this declaration.
- Int.fib_negproof · cited by 4
- Int.fib_add_twoproof · cited by 2
- Int.fib_eq_zeroproof · cited by 0
- Int.fib_dvdproof · cited by 0