MatmulProof.cell_below: 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 146-154 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=146&end_line=154

import Base
import bendtorch-core@0.1.0.0/src/shape/core.bend as Shape
import bendtorch-core@0.1.0.0/src/shape/nat_proofs.bend as Nats
import bendtorch-core@0.1.0.0/src/tensor/contracts/dot_proof.bend as DotProof

def cell_below(+output: Shape.Shape, +rows: U32, +columns: U32, +oe: {Shape.dimensions(output) == [rows, columns] : List<&2, U32>},
  +row: Nat, +row_below: {Nat.is_lt(row, U32.to_nat(rows)) == True{} : Bool},
  +column: Nat, +column_below: {Nat.is_lt(column, U32.to_nat(columns)) == True{} : Bool}) ->
  {Nat.is_lt(Nat.add(Nat.mul(row, U32.to_nat(columns)), column), Shape.logical_numel(Shape.dimensions(output))) == True{} : Bool}:
  %Equal.sym(List<&2, U32>, Shape.dimensions(output), [rows, columns], oe) :
    {Nat.is_lt(Nat.add(Nat.mul(row, U32.to_nat(columns)), column), Shape.logical_numel(_)) == True{} : Bool}
  %Equal.sym(Nat, Nat.mul(U32.to_nat(columns), 1n), U32.to_nat(columns), Nats.mul_one_right(U32.to_nat(columns))) :
    {Nat.is_lt(Nat.add(Nat.mul(row, U32.to_nat(columns)), column), Nat.mul(U32.to_nat(rows), _)) == True{} : Bool}
  DotProof.lt_mul_add(row, U32.to_nat(rows), column, U32.to_nat(columns), row_below, column_below)

Uses (14):
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Bool
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Equal.sym
  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.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=U32
  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/shape/nat_proofs.bend&name=mul_one_right
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/tensor/contracts/dot_proof.bend&name=lt_mul_add