Theorems · Theorem · number theory
Nat.fib_succ_eq_sum_choose
∀ (n : ℕ), Nat.fib (n + 1) = ∑ p ∈ Finset.HasAntidiagonal.antidiagonal n, p.1.choose p.2
- Defined in
- Mathlib.Data.Nat.Fib.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 73 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
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Cites25
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- Finsetproof · cited by 13,712
- Finset.sumstatement and proof · cited by 5,195
- zero_addproof · cited by 2,366
- Finset.sum_congrproof · cited by 2,323
- Finset.mapproof · cited by 747
- Nat.choosestatement and proof · cited by 494
- Finset.consproof · cited by 221
- Finset.HasAntidiagonal.antidiagonalstatement and proof · cited by 218
- Finset.sum_insertproof · cited by 196
- Finset.sum_add_distribproof · cited by 131
- Finset.sum_mapproof · cited by 115
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