ProofWalk.walk_snoc: law of minebender-game@1.0.0.0
Import: import minebender-game@1.0.0.0/proof_walk.bend as ProofWalk
Lines 94-107 of minebender-game@1.0.0.0/proof_walk.bend: https://jend.leeeet.dev/read.txt?path=minebender-game@1.0.0.0/proof_walk.bend&start_line=94&end_line=107

import Base
import minebender-game@1.0.0.0/types.bend as T
import minebender-game@1.0.0.0/LAWS.bend as L

# Extending a walk to c by one step from c (a zero) to r.
law walk_snoc:
  for +path: List<&2, T.Pos>
  for +w: Nat
  for +h: Nat
  for +layout: T.Grid(Bool)
  for +p: T.Pos
  for +c: T.Pos
  for +r: T.Pos
  for +wk: {L.zero_walk(path, w, h, layout, p, c) == True{} : Bool}
  for +z: {L.zero(w, h, layout, c) == True{} : Bool}
  for +a: {L.adjacent(c, r) == True{} : Bool}
  for +on: {L.on_board(w, h, r) == True{} : Bool}
  {L.zero_walk(List.append(&2, T.Pos, path, [r]), w, h, layout, p, r) == True{} : Bool}

Uses (20):
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Bool
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Bool.and
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Equal.sym
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=List
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=List.append
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Nat
  https://jend.leeeet.dev/definition.txt?path=minebender-game@1.0.0.0/LAWS.bend&name=adjacent
  https://jend.leeeet.dev/definition.txt?path=minebender-game@1.0.0.0/LAWS.bend&name=on_board
  https://jend.leeeet.dev/definition.txt?path=minebender-game@1.0.0.0/LAWS.bend&name=same
  https://jend.leeeet.dev/definition.txt?path=minebender-game@1.0.0.0/LAWS.bend&name=zero
  https://jend.leeeet.dev/definition.txt?path=minebender-game@1.0.0.0/LAWS.bend&name=zero_walk
  https://jend.leeeet.dev/definition.txt?path=minebender-game@1.0.0.0/proof_walk.bend&name=and4_a
  https://jend.leeeet.dev/definition.txt?path=minebender-game@1.0.0.0/proof_walk.bend&name=and4_b
  https://jend.leeeet.dev/definition.txt?path=minebender-game@1.0.0.0/proof_walk.bend&name=and4_c
  https://jend.leeeet.dev/definition.txt?path=minebender-game@1.0.0.0/proof_walk.bend&name=and4_d
  https://jend.leeeet.dev/definition.txt?path=minebender-game@1.0.0.0/proof_walk.bend&name=and4_intro
  https://jend.leeeet.dev/definition.txt?path=minebender-game@1.0.0.0/proof_walk.bend&name=lsame_refl
  https://jend.leeeet.dev/definition.txt?path=minebender-game@1.0.0.0/proof_walk.bend&name=lsame_sound
  https://jend.leeeet.dev/definition.txt?path=minebender-game@1.0.0.0/types.bend&name=Grid
  https://jend.leeeet.dev/definition.txt?path=minebender-game@1.0.0.0/types.bend&name=Pos