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Theorems · Theorem · number theory

GenContFract.IntFractPair.seq1_fst_eq_of

∀ {K : Type u_1} [inst : DivisionRing K] [inst_1 : LinearOrder K] [inst_2 : FloorRing K] {v : K},
  (GenContFract.IntFractPair.seq1 v).1 = GenContFract.IntFractPair.of v

The head term of the sequence with head of v is just the integer part of v.

Defined in
Mathlib.Algebra.ContinuedFractions.Computation.Translations
Cited by
0 results in Mathlib
Foundations
Depth 49 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
DivisionRingLinearOrderFloorRing
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LinearOrder · cited by 8572LinearOrderDivisionRing · cited by 1062DivisionRingFloorRing · cited by 405FloorRingStream'.Seq · cited by 226Stream'.SeqGenContFract.IntFractPair · cited by 45GenContFract.IntFractPairGenContFract.IntFractPair.of · cited by 22IntFractPair.ofGenContFract.IntFractPair.seq1 · cited by 5IntFractPair.seq1IntFractPair.seq1_fst_eq_ofCITED BYCITES

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