Documentation Verification Report

Basic

📁 Source: PhysLean/QuantumMechanics/OneDimension/HilbertSpace/Basic.lean

Statistics

MetricCount
DefinitionsMemHS, mk, toBra
3
TheoremsaeEqFun_mk_mem_iff, aeStronglyMeasurable_of_memHS, coe_hilbertSpace_memHS, coe_mk_ae, eLpNorm_mk, ext_iff, inner_mk_mk, memHS_add, memHS_iff, memHS_of_ae, memHS_smul, mem_iff', mk_add, mk_eq_iff, mk_smul, mk_surjective, toBra_apply, toBra_injective, toBra_surjective, zero_fun_memHS, zero_memHS
21
Total24

QuantumMechanics.OneDimension.HilbertSpace

Definitions

NameCategoryTheorems
MemHS 📖MathDef
7 mathmath: memHS_iff, QuantumMechanics.OneDimension.HarmonicOscillator.eigenfunction_memHS, gaussian_memHS, zero_fun_memHS, zero_memHS, aeEqFun_mk_mem_iff, coe_hilbertSpace_memHS
mk 📖CompOp
toBra 📖CompOp
3 mathmath: toBra_injective, toBra_apply, toBra_surjective

Theorems

NameKindAssumesProvesValidatesDepends On
aeEqFun_mk_mem_iff 📖mathematicalQuantumMechanics.OneDimension.HilbertSpace
MemHS
aeStronglyMeasurable_of_memHS 📖MemHS
coe_hilbertSpace_memHS 📖mathematicalMemHSaeEqFun_mk_mem_iff
coe_mk_ae 📖MemHS
eLpNorm_mk 📖MemHScoe_mk_ae
ext_iff 📖
inner_mk_mk 📖mathematicalMemHSQuantumMechanics.OneDimension.HilbertSpacecoe_mk_ae
memHS_add 📖MemHS
memHS_iff 📖mathematicalMemHSMemHS.eq_1
memHS_of_ae 📖MemHS
memHS_smul 📖MemHS
mem_iff' 📖mathematicalQuantumMechanics.OneDimension.HilbertSpace
mk_add 📖mathematicalMemHSmemHS_add
QuantumMechanics.OneDimension.HilbertSpace
memHS_add
mk_eq_iff 📖MemHS
mk_smul 📖mathematicalMemHSmemHS_smul
QuantumMechanics.OneDimension.HilbertSpace
memHS_smul
mk_surjective 📖coe_hilbertSpace_memHS
toBra_apply 📖mathematicalQuantumMechanics.OneDimension.HilbertSpace
toBra
toBra_injective 📖mathematicalQuantumMechanics.OneDimension.HilbertSpace
toBra
toBra_surjective 📖mathematicalQuantumMechanics.OneDimension.HilbertSpace
toBra
zero_fun_memHS 📖mathematicalMemHSzero_memHS
zero_memHS 📖mathematicalMemHSmemHS_iff

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