MatmulProof.facts_output: def of bendtorch-core@0.1.0.0
Import: import bendtorch-core@0.1.0.0/src/tensor/contracts/matmul_proof.bend as MatmulProof
Lines 37-47 of bendtorch-core@0.1.0.0/src/tensor/contracts/matmul_proof.bend: https://jend.leeeet.dev/read.txt?path=bendtorch-core@0.1.0.0/src/tensor/contracts/matmul_proof.bend&start_line=37&end_line=47

import Base
import bendtorch-core@0.1.0.0/src/shape/core.bend as Shape
import bendtorch-core@0.1.0.0/src/tensor/matmul.bend as Matrix

def facts_output(-left: Shape.Shape, -right: Shape.Shape, +rows: U32, +inner: U32, +right_inner: U32, +columns: U32,
  le: {Shape.dimensions(left) == [rows, inner] : List<&2, U32>},
  re: {Shape.dimensions(right) == [right_inner, columns] : List<&2, U32>},
  compatible: {U32.to_nat(inner) == U32.to_nat(right_inner) : Nat},
  result: Shape.ConstructResult<[rows, columns]>) ->
  Facts(left, right, Matrix.plan_output(left, right, rows, inner, right_inner, columns, le, re, compatible, result)):
  match result:
    case Shape.SError{error}:
      Unit{}
    case Shape.SBuilt{shape, preserved}:
      MatrixFacts{le, re, preserved, compatible}

Uses (11):
  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=U32
  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=ConstructResult
  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/shape/core.bend&name=dimensions
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/tensor/contracts/matmul_proof.bend&name=Facts
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/tensor/contracts/matmul_proof.bend&name=MatrixFacts
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/tensor/matmul.bend&name=plan_output