MatmulProof.facts_compatible: 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 49-59 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=49&end_line=59

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

def facts_compatible(-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>},
  decision: Shape.BoolCase<Nat.is_eq(U32.to_nat(inner), U32.to_nat(right_inner))>) ->
  Facts(left, right, Matrix.plan_compatible(left, right, rows, inner, right_inner, columns, le, re, decision)):
  match decision:
    case Shape.BFalse{equal}:
      Unit{}
    case Shape.BTrue{equal}:
      facts_output(left, right, rows, inner, right_inner, columns, le, re,
        Lifecycle.natural_equal(U32.to_nat(inner), U32.to_nat(right_inner), equal), Shape.construct([rows, columns]))

Uses (13):
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=List
  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.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/shape/core.bend&name=construct
  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=facts_output
  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=plan_compatible