Theorems · Theorem · number theory
GenContFract.IntFractPair.stream_succ_of_int
∀ {K : Type u_1} [inst : DivisionRing K] [inst_1 : LinearOrder K] [inst_2 : FloorRing K] [IsStrictOrderedRing K] (a : ℤ)
(n : ℕ), GenContFract.IntFractPair.stream (↑a) (n + 1) = noneThe stream of IntFractPairs of an integer stops after the first term.
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 52 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites12
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
- IsStrictOrderedRingstatement and proof · cited by 2,490
- DivisionRingstatement and proof · cited by 1,062
- FloorRingstatement and proof · cited by 405
- Int.floorproof · cited by 225
- GenContFract.IntFractPairstatement · cited by 45
- GenContFract.IntFractPair.streamstatement and proof · cited by 37
- GenContFract.IntFractPair.frproof · cited by 25
- Int.fract_intCastproof · cited by 8
- GenContFract.IntFractPair.stream_zeroproof · cited by 3
- GenContFract.IntFractPair.succ_nth_stream_eq_none_iffproof · cited by 3
- GenContFract.IntFractPair.stream_eq_none_of_fr_eq_zeroproof · cited by 2
Cited by1
Results whose statement or proof uses this declaration.
- GenContFract.of_s_of_intproof · cited by 2