FoldRecords.MatmulContract: type of bendtorch-core@0.1.0.0
Import: import bendtorch-core@0.1.0.0/src/tensor/contracts/fold_records.bend as FoldRecords
Lines 63-79 of bendtorch-core@0.1.0.0/src/tensor/contracts/fold_records.bend: https://jend.leeeet.dev/read.txt?path=bendtorch-core@0.1.0.0/src/tensor/contracts/fold_records.bend&start_line=63&end_line=79

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/matmul.bend as Matrix

# What a matrix product promises, stated only through the result: it
# succeeds with a rows x columns output whose cell (row, column), at index
# row * columns + column, holds `cell(row, column)`, and both returned inputs
# still hold every word.
type MatmulContract<-left: Shape.Shape, -right: Shape.Shape, -rows: Nat, -columns: Nat, -cell: Nat -> Nat -> F32,
  -left_word: U32 -> F32, -right_word: U32 -> F32,
  -result: Result<&2, &1, Matrix.Error, Core.Dynamic & Core.Dynamic & Core.Dynamic>> is Type:
  MatmulContract{
    successful: {product_succeeded(result) == True{} : Bool},
    extents: {product_extents(result) == Some{[rows, columns]} : Maybe<&2, List<&2, Nat>>},
    value: @+row: Nat -> @row_below: {Nat.is_lt(row, rows) == True{} : Bool} ->
      @+column: Nat -> @column_below: {Nat.is_lt(column, columns) == True{} : Bool} ->
      {product_point(result, U32.from_nat(Nat.add(Nat.mul(row, columns), column))) == Some{cell(row, column)} : Maybe<&2, F32>},
    left_kept: @+other: U32 -> @inside: {Nat.is_lt(U32.to_nat(other), Shape.logical_numel(Shape.dimensions(left))) == True{} : Bool} ->
      {product_left_point(result, other) == Some{left_word(other)} : Maybe<&2, F32>},
    right_kept: @+other: U32 -> @inside: {Nat.is_lt(U32.to_nat(other), Shape.logical_numel(Shape.dimensions(right))) == True{} : Bool} ->
      {product_right_point(result, other) == Some{right_word(other)} : Maybe<&2, F32>}}

Uses (23):
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Bool
  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=Maybe
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Nat
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Nat.add
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Nat.is_lt
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Nat.mul
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Pair
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Result
  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=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/shape/core.bend&name=logical_numel
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/tensor/contracts/fold_records.bend&name=product_extents
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/tensor/contracts/fold_records.bend&name=product_left_point
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/tensor/contracts/fold_records.bend&name=product_point
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/tensor/contracts/fold_records.bend&name=product_right_point
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/tensor/contracts/fold_records.bend&name=product_succeeded
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/tensor/core.bend&name=Dynamic
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/tensor/matmul.bend&name=Error