BoundaryProofs.horner_fits: def of bendtorch-core@0.1.0.0
Import: import bendtorch-core@0.1.0.0/src/shape/boundary_proofs.bend as BoundaryProofs
Lines 132-133 of bendtorch-core@0.1.0.0/src/shape/boundary_proofs.bend: https://jend.leeeet.dev/read.txt?path=bendtorch-core@0.1.0.0/src/shape/boundary_proofs.bend&start_line=132&end_line=133

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

def horner_fits(+shape: Shape.Shape, +values: List<&2, U32>, +fits: Coordinates.Fits(Shape.extents(shape), Shape.naturals(values))) -> {Shape.horner(Shape.dimensions(shape), values, 0n) == Shape.row_major(Shape.extents(shape), Coordinates.coordinate_of(Shape.extents(shape), Shape.naturals(values), fits)) : Nat}:
  Equal.trans(Nat, Shape.horner(Shape.dimensions(shape), values, 0n), Shape.offset(Shape.extents(shape), Shape.naturals(values)), Shape.row_major(Shape.extents(shape), Coordinates.coordinate_of(Shape.extents(shape), Shape.naturals(values), fits)), Coordinates.horner_spec(Shape.dimensions(shape), values, 0n, fits), Equal.sym(Nat, Shape.row_major(Shape.extents(shape), Coordinates.coordinate_of(Shape.extents(shape), Shape.naturals(values), fits)), Shape.offset(Shape.extents(shape), Shape.naturals(values)), Coordinates.offset_of(Shape.extents(shape), Shape.naturals(values), fits)))

Uses (16):
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Equal.sym
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Equal.trans
  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=bendtorch-core@0.1.0.0/src/shape/coordinate_proofs.bend&name=Fits
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/shape/coordinate_proofs.bend&name=coordinate_of
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/shape/coordinate_proofs.bend&name=horner_spec
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/shape/coordinate_proofs.bend&name=offset_of
  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=extents
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/shape/core.bend&name=horner
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/shape/core.bend&name=naturals
  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