Theorems · Theorem · number theory
GenContFract.contsAux_eq_contsAux_squashGCF_of_le
∀ {K : Type u_1} {n : ℕ} {g : GenContFract K} [inst : DivisionRing K] {m : ℕ},
m ≤ n → g.contsAux m = (g.squashGCF n).contsAux mThe auxiliary continuants before the squashed position stay the same.
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 49 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- DivisionRing
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites17
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- LT.lt.leproof · cited by 2,189
- DivisionRingstatement and proof · cited by 1,062
- le_transproof · cited by 985
- zero_lt_twoproof · cited by 124
- Stream'.Seq.get?proof · cited by 122
- lt_add_oneproof · cited by 105
- GenContFract.Pairstatement and proof · cited by 85
- GenContFractstatement and proof · cited by 68
- GenContFract.sproof · cited by 57
- Nat.strong_induction_onproof · cited by 52
- lt_add_of_pos_rightproof · cited by 51
- GenContFract.Pair.bproof · cited by 51
Cited by1
Results whose statement or proof uses this declaration.
- GenContFract.succ_nth_conv_eq_squashGCF_nth_convproof · cited by 1