Theorems · Theorem · number theory

ZSpan.coe_fract_self

∀ {ι : Type u_2} {K : Type u_3} [inst : NormedField K] [inst_1 : LinearOrder K] [inst_2 : IsStrictOrderedRing K]
  [inst_3 : FloorRing K] [inst_4 : Fintype ι] [inst_5 : Unique ι] (k : K),
  ZSpan.fract (Module.Basis.singleton ι K) k = Int.fract k

Defined in: Mathlib.Algebra.Module.ZLattice.Basic
Cited by: 0 results in Mathlib
Foundations: Depth 106 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: NormedField LinearOrder IsStrictOrderedRing FloorRing Fintype Unique

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Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

DFunLike.coeproof · cited by 62,936
LinearOrderstatement and proof · cited by 8,572
Fintypestatement and proof · cited by 7,736
IsStrictOrderedRingstatement and proof · cited by 2,490
NormedFieldstatement and proof · cited by 1,084
Module.Basis.reprproof · cited by 498
FloorRingstatement and proof · cited by 405
Uniquestatement and proof · cited by 400
Int.fractstatement and proof · cited by 114
Module.Basis.singletonstatement and proof · cited by 15
ZSpan.fractstatement · cited by 14
Module.Basis.ext_elemproof · cited by 11

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