Theorems · Theorem · number theory
ZSpan.quotientEquiv.symm_apply
∀ {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 : Module.Basis ι K E) [inst_3 : LinearOrder K] [inst_4 : IsStrictOrderedRing K]
[inst_5 : FloorRing K] [inst_6 : Fintype ι] (x : ↑(ZSpan.fundamentalDomain b)),
(ZSpan.quotientEquiv b).symm x = Submodule.Quotient.mk ↑x- Defined in
- Mathlib.Algebra.Module.ZLattice.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 102 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites25
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- Setstatement · cited by 53,352
- NormedAddCommGroupstatement and proof · cited by 15,752
- NormedSpacestatement and proof · cited by 12,499
- LinearOrderstatement and proof · cited by 8,572
- Equivstatement · cited by 8,337
- Fintypestatement and proof · cited by 7,736
- Submodulestatement · cited by 7,192
- Set.Elemstatement and proof · cited by 7,166
- Set.rangestatement · cited by 4,705
- Equiv.symmstatement · cited by 3,681
- IsStrictOrderedRingstatement and proof · cited by 2,490
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