AxisAlgebra.product_0: def of bendtorch-core@0.1.0.0
Import: import bendtorch-core@0.1.0.0/src/tensor/axis_algebra.bend as AxisAlgebra
Lines 346-353 of bendtorch-core@0.1.0.0/src/tensor/axis_algebra.bend: https://jend.leeeet.dev/read.txt?path=bendtorch-core@0.1.0.0/src/tensor/axis_algebra.bend&start_line=346&end_line=353

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

def product_0(+dims: List<&2, Nat>, length: {List.length(&2, Nat, dims) == 1n : Nat}) -> {Shape.numel(Axis.order(Nat, dims, [0n])) == Shape.numel(dims) : Nat}:
  match dims:
    case Nil{}:
      Empty.absurd({Shape.numel(Axis.order(Nat, Nil{}, [0n])) == Shape.numel(Nil{}) : Nat}, nat_clash(0n, 1n, length, {==}))
    case +x0 <> Nil{}:
      {==}
    case +x0 <> +x1 <> +tail:
      Empty.absurd({Shape.numel(Axis.order(Nat, x0 <> x1 <> tail, [0n])) == Shape.numel(x0 <> x1 <> tail) : Nat}, nat_clash(2n+List.length(&2, Nat, tail), 1n, length, {==}))

Uses (7):
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Empty.absurd
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=List
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=List.length
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Nat
  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/tensor/axis_algebra.bend&name=nat_clash
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/tensor/axis_spec.bend&name=order