Theorems · Theorem · number theory
Int.fib_neg
∀ (n : ℤ), Int.fib (-n) = if Even n then -Int.fib n else Int.fib n
- Defined in
- Mathlib.Data.Int.Fib.Basic
- Cited by
- 4 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.
Cites11
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- one_mulproof · cited by 2,841
- neg_negproof · cited by 960
- neg_mulproof · cited by 654
- one_powproof · cited by 521
- Evenstatement and proof · cited by 444
- Oddproof · cited by 364
- Even.neg_powproof · cited by 99
- Nat.fibproof · cited by 74
- Int.fibstatement and proof · cited by 26
- Odd.neg_one_powproof · cited by 18
- Int.fib_neg_natCastproof · cited by 4
Cited by4
Results whose statement or proof uses this declaration.
- Int.coe_fib_negproof · cited by 0
- Int.fib_succ_mul_fib_pred_sub_fib_sqproof · cited by 0
- Int.gcd_fibproof · cited by 0
- Real.coe_intFib_eqproof · cited by 0