CoordinateProofs.offset_indices: def of bendtorch-core@0.1.0.0
Import: import bendtorch-core@0.1.0.0/src/shape/coordinate_proofs.bend as CoordinateProofs
Lines 69-75 of bendtorch-core@0.1.0.0/src/shape/coordinate_proofs.bend: https://jend.leeeet.dev/read.txt?path=bendtorch-core@0.1.0.0/src/shape/coordinate_proofs.bend&start_line=69&end_line=75

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

def offset_indices(+dims: List<&2, Nat>, +coordinate: Shape.Coordinate(dims)) -> {Shape.offset(dims, Shape.indices(dims, coordinate)) == Shape.row_major(dims, coordinate) : Nat}:
  match dims:
    case Nil{}:
      {==}
    case +head <> +tail:
      Shape.CStep{+index, +rest} = coordinate
      Equal.cong(Nat, Nat, value => Nat.add(Nat.mul(Shape.Fin.value(head, index), Shape.numel(tail)), value), Shape.offset(tail, Shape.indices(tail, rest)), Shape.row_major(tail, rest), offset_indices(tail, rest))

Uses (12):
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Equal.cong
  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.mul
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/shape/core.bend&name=Coordinate
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/shape/core.bend&name=Coordinate.Step
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/shape/core.bend&name=Fin.value
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/shape/core.bend&name=indices
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/shape/core.bend&name=numel
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/shape/core.bend&name=offset
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/shape/core.bend&name=row_major