Theorems · Theorem · number theory

ZLattice.normBound.congr_simp

∀ {E : Type u_1} [inst : NormedAddCommGroup E] [inst_1 : NormedSpace ℝ E] [inst_2 : FiniteDimensional ℝ E]
  {L : Submodule ℤ E} [inst_3 : DiscreteTopology ↥L] {ι : Type u_3} (b b_1 : Module.Basis ι ℤ ↥L),
  b = b_1 → ZLattice.normBound b = ZLattice.normBound b_1

Defined in: Mathlib.Algebra.Module.ZLattice.Summable
Cited by: 0 results in Mathlib
Foundations: Depth 183 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: NormedAddCommGroup NormedSpace FiniteDimensional DiscreteTopology

Mathlib docs Source Loogle LeanSearch

Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

Cites8

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

Realstatement and proof · cited by 25,697
NormedAddCommGroupstatement and proof · cited by 15,752
NormedSpacestatement and proof · cited by 12,499
Submodulestatement and proof · cited by 7,192
FiniteDimensionalstatement and proof · cited by 1,854
Module.Basisstatement and proof · cited by 1,477
DiscreteTopologystatement and proof · cited by 373
ZLattice.normBoundstatement and proof · cited by 8

Cited by0

Results whose statement or proof uses this declaration.

Nothing cites this yet.