SliceLAWS.slice_length_below: law of bendtorch-core@0.1.0.0
Import: import bendtorch-core@0.1.0.0/src/tensor/slice_LAWS.bend as SliceLAWS
Lines 68-78 of bendtorch-core@0.1.0.0/src/tensor/slice_LAWS.bend: https://jend.leeeet.dev/read.txt?path=bendtorch-core@0.1.0.0/src/tensor/slice_LAWS.bend&start_line=68&end_line=78

import Base
import bendtorch-core@0.1.0.0/src/tensor/slice.bend as Slice

# The length of the sliced axis is the number of indices start, start +
# step, start + 2 step, ... below the stop: each index below the length
# lies below the stop, and, for a positive step, the index at the length
# does not.
law slice_length_below:
  for +start: Nat
  for +stop: Nat
  for +step: Nat
  for +k: Nat
  for below: {Nat.is_lt(k, Slice.length(Slice.Bounds{start, stop}, step)) == True{} : Bool}
  {Nat.is_lt(Nat.add(start, Nat.mul(k, step)), stop) == True{} : Bool}

Uses (9):
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Bool
  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=Nat.sub
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/tensor/slice.bend&name=Bounds
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/tensor/slice.bend&name=length
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/tensor/slice_PROOF.bend&name=below_span