Theorems · Theorem · number theory

ZSpan.fract.congr_simp

∀ {E : Type u_1} {ι : Type u_2} {K : Type u_3} [inst : NormedField K] [inst_1 : NormedAddCommGroup E]
  [inst_2 : NormedSpace K E] (b b_1 : Module.Basis ι K E),
  b = b_1 →
    ∀ [inst_3 : LinearOrder K] [inst_4 : IsStrictOrderedRing K] [inst_5 : FloorRing K] [inst_6 : Fintype ι] (m m_1 : E),
      m = m_1 → ZSpan.fract b m = ZSpan.fract b_1 m_1

Defined in

Mathlib.Algebra.Module.ZLattice.Basic

Cited by

0 results in Mathlib

Foundations

Depth 92 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

NormedFieldNormedAddCommGroupNormedSpaceLinearOrderIsStrictOrderedRingFloorRingFintype