SliceLAWS.slice_stop_kept: law of bendtorch-core@0.1.0.0
Import: import bendtorch-core@0.1.0.0/src/tensor/slice_LAWS.bend as SliceLAWS
Lines 44-52 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=44&end_line=52

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

# A stop from the start to n is kept, a stop past n becomes n, and a stop
# at or before the start ends the slice at its start: an empty axis.
law slice_stop_kept:
  for +extent: Nat
  for +start: Nat
  for +stop: Nat
  for +after: {Nat.is_le(start, stop) == True{} : Bool}
  for +inside: {Nat.is_le(stop, extent) == True{} : Bool}
  {high(Slice.bounds(extent, start, stop)) == stop : Nat}

Uses (11):
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Bool
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Equal.sym
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Nat
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Nat.is_le
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Nat.max
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Nat.min
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/tensor/contracts/build_facts.bend&name=le_trans
  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_LAWS.bend&name=high
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/tensor/slice_PROOF.bend&name=max_right
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/tensor/slice_PROOF.bend&name=min_left