SliceLAWS.slice_start_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 28-35 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=28&end_line=35

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

# PyTorch's clamp of a slice to an axis of extent n. A start at most n is
# kept, a start past n becomes n.
law slice_start_kept:
  for +extent: Nat
  for +start: Nat
  for +stop: Nat
  for inside: {Nat.is_le(start, extent) == True{} : Bool}
  {low(Slice.bounds(extent, start, stop)) == start : Nat}

Uses (6):
  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.is_le
  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=low
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/tensor/slice_PROOF.bend&name=min_left