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Theorems · Definition · special functions

PeriodPair.lattice

PeriodPair → Submodule ℤ ℂ

The lattice spanned by a pair of periods.

Defined in
Mathlib.Analysis.SpecialFunctions.Elliptic.Weierstrass
Cited by
82 results in Mathlib
Foundations
Depth 105 from the axioms · uses propext, Classical.choice, Quot.sound
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Around this declaration

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

PeriodPair.weierstrassPExcept · cited by 27PeriodPair.weierstrassPEx…PeriodPair.weierstrassP · cited by 22PeriodPair.weierstrassPPeriodPair.derivWeierstrassPExcept · cited by 20PeriodPair.derivWeierstra…PeriodPair.derivWeierstrassP · cited by 16PeriodPair.derivWeierstra…PeriodPair.sumInvPow · cited by 11PeriodPair.sumInvPowPeriodPair.ω₁_div_two_notMem_lattice · cited by 10PeriodPair.ω₁_div_two_not…PeriodPair.weierstrassPExceptSeries · cited by 8PeriodPair.weierstrassPEx…PeriodPair.isOpen_compl_lattice_sdiff · cited by 7PeriodPair.isOpen_compl_l…PeriodPair.weierstrassPExcept_of_notMem · cited by 6PeriodPair.weierstrassPEx…PeriodPair.weierstrassPExceptSummand · cited by 5PeriodPair.weierstrassPEx…PeriodPair.finrank_lattice · cited by 4PeriodPair.finrank_latticePeriodPair.hasSumLocallyUniformly_derivWeierstrassPExcept · cited by 4PeriodPair.hasSumLocallyU…PeriodPair.hasSumLocallyUniformly_weierstrassPExcept · cited by 4PeriodPair.hasSumLocallyU…PeriodPair.latticeBasis · cited by 4PeriodPair.latticeBasisPeriodPair.compl_lattice_sdiff_singleton_mem_nhds · cited by 4PeriodPair.compl_lattice_…Submodule · cited by 7192SubmoduleComplex · cited by 5565ComplexSubmodule.span · cited by 1504Submodule.spanPeriodPair · cited by 94PeriodPairPeriodPair.ω₁ · cited by 22PeriodPair.ω₁PeriodPair.ω₂ · cited by 13PeriodPair.ω₂PeriodPair.latticeCITED BYCITES

Cites6

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Cited by94

Results whose statement or proof uses this declaration.