Theorems · Theorem · number theory

ZLattice.rank

∀ (K : Type u_1) [inst : NormedField K] [inst_1 : LinearOrder K] [IsStrictOrderedRing K] [HasSolidNorm K] [FloorRing K]
  {E : Type u_2} [inst_5 : NormedAddCommGroup E] [inst_6 : NormedSpace K E] [FiniteDimensional K E] [ProperSpace E]
  (L : Submodule ℤ E) [inst_9 : DiscreteTopology ↥L] [hs : IsZLattice K L], Module.finrank ℤ ↥L = Module.finrank K E

Defined in

Mathlib.Algebra.Module.ZLattice.Basic

Cited by

5 results in Mathlib

Foundations

Depth 165 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

NormedFieldLinearOrderIsStrictOrderedRingHasSolidNormFloorRingNormedAddCommGroupNormedSpaceFiniteDimensionalProperSpaceDiscreteTopologyIsZLattice