LAWS.mat_numel: law of bendtorch@1.3.0.0
Import: import bendtorch@1.3.0.0/LAWS.bend as LAWS
Lines 303-307 of bendtorch@1.3.0.0/LAWS.bend: https://jend.leeeet.dev/read.txt?path=bendtorch@1.3.0.0/LAWS.bend&start_line=303&end_line=307

import Base
import bendtorch@1.3.0.0/tensor.bend as TT

# LAW (mat_numel): a Tensor<[r, c]> holds the r·c numbers of a Mat<r, c>, so of_mat and to_mat reuse the array as it is.
law mat_numel:
  for +r: Nat
  for +c: Nat
  {TT.numel([r, c]) == Nat.mul(r, c) : Nat}

Uses (6):
  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.mul
  https://jend.leeeet.dev/definition.txt?path=bend-ml-nat-lemmas@0.1.2.0/main.bend&name=mul_one_r
  https://jend.leeeet.dev/definition.txt?path=bendtorch@1.3.0.0/tensor.bend&name=numel