ReductionPROOF.source_decision: def of bendtorch-core@0.1.0.0
Import: import bendtorch-core@0.1.0.0/src/tensor/reduction_PROOF.bend as ReductionPROOF
Lines 591-604 of bendtorch-core@0.1.0.0/src/tensor/reduction_PROOF.bend: https://jend.leeeet.dev/read.txt?path=bendtorch-core@0.1.0.0/src/tensor/reduction_PROOF.bend&start_line=591&end_line=604

import Base
import bendtorch-core@0.1.0.0/src/shape/core.bend as Shape
import bendtorch-core@0.1.0.0/src/tensor/core.bend as Core
import bendtorch-core@0.1.0.0/src/tensor/lifecycle.bend as Lifecycle
import bendtorch-core@0.1.0.0/src/tensor/reduction.bend as Reduction
import bendtorch-core@0.1.0.0/src/tensor/reduction_LAWS.bend as Laws

def source_decision(+fuel: Nat, -shape: Shape.Shape, tensor: Core.Tensor<shape>, +cursor: Nat, +accumulator: F32,
  -rec: @tensor: Core.Tensor<shape> -> @+value: F32 -> Laws.SourceSum<fuel, shape, tensor, 1n+cursor, value,
    Reduction.natural_sum_loop(fuel, shape, tensor, 1n+cursor, value)>,
  decision: Shape.BoolCase<Nat.is_eq(U32.to_nat(U32.from_nat(cursor)), cursor)>) ->
  Laws.SourceSum<1n+fuel, shape, tensor, cursor, accumulator, Reduction.sum_decided(shape,
    tensor => value => Reduction.natural_sum_loop(fuel, shape, tensor, 1n+cursor, value), tensor, cursor, U32.from_nat(cursor), accumulator, decision)>:
  match decision:
    case Shape.BFalse{equal}:
      Laws.SourceSum{unit => Unit{}}
    case Shape.BTrue{equal}:
      source_pair(fuel, shape, tensor, cursor, accumulator, rec,
        Lifecycle.natural_equal(U32.to_nat(U32.from_nat(cursor)), cursor, equal),
        Core.read_certificate(shape, tensor, U32.from_nat(cursor)), Core.source_read_model(shape, tensor, U32.from_nat(cursor)),
        Core.source_read_keeps(shape, tensor, U32.from_nat(cursor)))

Uses (17):
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=F32
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Nat
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Nat.is_eq
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=U32.from_nat
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=U32.to_nat
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Unit
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/shape/core.bend&name=BoolCase
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/shape/core.bend&name=Shape
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/tensor/core.bend&name=Tensor
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/tensor/core.bend&name=read_certificate
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/tensor/core.bend&name=source_read_keeps
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/tensor/core.bend&name=source_read_model
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/tensor/lifecycle.bend&name=natural_equal
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/tensor/reduction.bend&name=natural_sum_loop
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/tensor/reduction.bend&name=sum_decided
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/tensor/reduction_LAWS.bend&name=SourceSum
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/tensor/reduction_PROOF.bend&name=source_pair