Theorems · Theorem · number theory
GenContFract.IntFractPair.stream_succ_of_some
∀ {K : Type u_1} [inst : DivisionRing K] [inst_1 : LinearOrder K] [inst_2 : FloorRing K] {v : K} {n : ℕ}
{p : GenContFract.IntFractPair K},
GenContFract.IntFractPair.stream v n = some p →
p.fr ≠ 0 → GenContFract.IntFractPair.stream v (n + 1) = some (GenContFract.IntFractPair.of p.fr⁻¹)An easier to use version of one direction of
GenContFract.IntFractPair.succ_nth_stream_eq_some_iff.
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 48 from the axioms · uses propext, Classical.choice, Quot.sound
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.
- LinearOrderstatement and proof · cited by 8,572
- DivisionRingstatement and proof · cited by 1,062
- FloorRingstatement and proof · cited by 405
- GenContFract.IntFractPairstatement and proof · cited by 45
- GenContFract.IntFractPair.streamstatement and proof · cited by 37
- GenContFract.IntFractPair.frstatement and proof · cited by 25
- GenContFract.IntFractPair.ofstatement · cited by 22
- GenContFract.IntFractPair.succ_nth_stream_eq_some_iffproof · cited by 8
Cited by3
Results whose statement or proof uses this declaration.
- GenContFract.get?_of_eq_some_of_get?_intFractPair_stream_fr_ne_zeroproof · cited by 1
- GenContFract.IntFractPair.stream_succproof · cited by 1
- GenContFract.of_s_headproof · cited by 1