Theorems · Theorem · number theory
GenContFract.fib_le_of_contsAux_b
∀ {K : Type u_1} {v : K} {n : ℕ} [inst : Field K] [inst_1 : LinearOrder K] [IsStrictOrderedRing K]
[inst_3 : FloorRing K],
n ≤ 1 ∨ ¬(GenContFract.of v).TerminatedAt (n - 2) → ↑(Nat.fib n) ≤ ((GenContFract.of v).contsAux n).b- Cited by
- 4 results in Mathlib
- Foundations
- Depth 53 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites34
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- LinearOrderstatement and proof · cited by 8,572
- Fieldstatement and proof · cited by 7,404
- one_mulproof · cited by 2,841
- Nat.cast_oneproof · cited by 2,501
- IsStrictOrderedRingstatement and proof · cited by 2,490
- zero_addproof · cited by 2,366
- Nat.cast_zeroproof · cited by 1,870
- add_commproof · cited by 1,535
- le_of_ltproof · cited by 1,175
- add_le_addproof · cited by 666
- Nat.cast_addproof · cited by 586
- lt_of_lt_of_leproof · cited by 438
Cited by4
Results whose statement or proof uses this declaration.
- GenContFract.abs_sub_convs_leproof · cited by 2
- GenContFract.succ_nth_fib_le_of_nth_denproof · cited by 1
- GenContFract.zero_le_of_contsAux_bproof · cited by 1
- GenContFract.sub_convs_eqproof · cited by 0