Theorems · Theorem · number theory
GenContFract.contsAux_stable_of_terminated
∀ {K : Type u_1} {g : GenContFract K} {n m : ℕ} [inst : DivisionRing K],
n < m → g.TerminatedAt n → g.contsAux m = g.contsAux (n + 1)- Cited by
- 2 results in Mathlib
- Foundations
- Depth 50 from the axioms · uses propext, Quot.sound
- Assumes
- DivisionRing
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DivisionRingstatement and proof · cited by 1,062
- GenContFract.Pairstatement · cited by 85
- GenContFractstatement and proof · cited by 68
- Nat.le_inductionproof · cited by 46
- GenContFract.TerminatedAtstatement and proof · cited by 30
- GenContFract.contsAuxstatement and proof · cited by 20
- GenContFract.terminated_stableproof · cited by 6
- GenContFract.contsAux_stable_step_of_terminatedproof · cited by 2
Cited by2
Results whose statement or proof uses this declaration.
- GenContFract.conts_stable_of_terminatedproof · cited by 2
- GenContFract.exists_gcf_pair_rat_eq_of_nth_contsAuxproof · cited by 1