MatmulPROOF.dot_decision: def of bendtorch-core@0.1.0.0
Import: import bendtorch-core@0.1.0.0/src/tensor/matmul_PROOF.bend as MatmulPROOF
Lines 236-248 of bendtorch-core@0.1.0.0/src/tensor/matmul_PROOF.bend: https://jend.leeeet.dev/read.txt?path=bendtorch-core@0.1.0.0/src/tensor/matmul_PROOF.bend&start_line=236&end_line=248

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/matmul.bend as Matrix
import bendtorch-core@0.1.0.0/src/tensor/matmul_LAWS.bend as Laws

def dot_decision(+fuel: Nat, +left: Shape.Shape, +right: Shape.Shape, a: Core.Tensor<left>, -b: Core.Tensor<right>,
  +row: U32, +column: U32, +cursor: Nat, +accumulator: F32,
  -rec: @a: Core.Tensor<left> -> @b: Core.Tensor<right> -> @+value: F32 ->
    Laws.SourceDot<fuel, left, right, a, b, row, column, 1n+cursor, value, Matrix.natural_dot(fuel, left, right, a, b, row, column, 1n+cursor, value)>,
  decision: Shape.BoolCase<Nat.is_eq(U32.to_nat(U32.from_nat(cursor)), cursor)>) ->
  Laws.SourceDot<1n+fuel, left, right, a, b, row, column, cursor, accumulator, Matrix.dot_decided(left, right,
    a => b => value => Matrix.natural_dot(fuel, left, right, a, b, row, column, 1n+cursor, value), a, b, row, column, cursor, U32.from_nat(cursor), accumulator, decision)>:
  match decision:
    case Shape.BFalse{equal}:
      Laws.SourceDot{unit => Unit{}}
    case Shape.BTrue{equal}:
      left_certificate(fuel, left, right, a, b, row, column, cursor, accumulator, rec,
        Lifecycle.natural_equal(U32.to_nat(U32.from_nat(cursor)), cursor, equal), coordinate_certificate(left, a, [row, 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=List
  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
  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/lifecycle.bend&name=natural_equal
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/tensor/matmul.bend&name=dot_decided
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/tensor/matmul.bend&name=natural_dot
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/tensor/matmul_LAWS.bend&name=SourceDot
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/tensor/matmul_PROOF.bend&name=coordinate_certificate
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/tensor/matmul_PROOF.bend&name=left_certificate