Theorems · Theorem · number theory
ZSpan.discreteTopology_pi_basisFun
∀ {ι : Type u_2} [inst : Finite ι], DiscreteTopology ↥(Submodule.span ℤ (Set.range ⇑(Pi.basisFun ℝ ι)))- Defined in
- Mathlib.Algebra.Module.ZLattice.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 157 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Finite
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Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
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- Realstatement and proof · cited by 25,697
- Fintypeproof · cited by 7,736
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- Norm.normproof · cited by 5,413
- Set.rangestatement and proof · cited by 4,705
- Finitestatement and proof · cited by 3,029
- Set.extproof · cited by 2,266
- absproof · cited by 1,814
- Submodule.spanstatement and proof · cited by 1,504
- Module.Basisstatement · cited by 1,477
- Metric.ballproof · cited by 735
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