OAI/Algebra/Finitistic/Ordinary/OrdinarySourceBimoduleTotal.lean
1 declarations, 0 contain sorry, 0 declared as axioms
- def
OAI.LittleFinitistic.OrdinarySimulation.sourceBimoduleTotalComparisonline 19Source documentation
The source signed total comparison for every Z, with the actual outside B-action retained.
def sourceBimoduleTotalComparison : BimoduleComplexTensor.total k B (B ⊗[k] ChainAlgebra k l) (TensorResolution.integerBimoduleComplex k B l) (middleLeftComplex k (B ⊗[k] ChainAlgebra k l) B (BimoduleO P a l) Z) (TensorResolution.finiteDegrees l) (TensorResolution.finiteDegrees_strictMono l) ≅ BimoduleComplexTensor.total k B B (P⟦b⟧) Z (TensorResolution.finiteDegrees l) (TensorResolution.finiteDegrees_strictMono l) := …Mentions: OAI.LittleFinitistic.BimoduleComplexTensor.total, OAI.LittleFinitistic.OrdinarySimulation.ChainAlgebra, OAI.LittleFinitistic.OrdinarySimulation.TensorResolution.integerBimoduleComplex, OAI.LittleFinitistic.middleLeftComplex, OAI.LittleFinitistic.OrdinarySimulation.BimoduleO, OAI.LittleFinitistic.OrdinarySimulation.TensorResolution.finiteDegrees, OAI.LittleFinitistic.OrdinarySimulation.TensorResolution.finiteDegrees_strictMono