ProofAssist.early_pick: def of minebender-game@1.0.0.0
Import: import minebender-game@1.0.0.0/proof_assist.bend as ProofAssist
Lines 291-306 of minebender-game@1.0.0.0/proof_assist.bend: https://jend.leeeet.dev/read.txt?path=minebender-game@1.0.0.0/proof_assist.bend&start_line=291&end_line=306

import Base
import minebender-game@1.0.0.0/types.bend as T
import minebender-game@1.0.0.0/game.bend as G
import minebender-game@1.0.0.0/solver.bend as S
import minebender-game@1.0.0.0/LAWS.bend as L
import minebender-game@1.0.0.0/proof_solver.bend as PV

def early_pick(+w: Nat, +h: Nat, +layout: T.Grid(Bool), +s: T.Grid(Bool), +f: List<&2, T.Pos>, +q: T.Pos,
  option: L.ProvablySafe(G.knowledge(G.Game{w, h, layout, s, f, T.Playing{}}), q),
  +r: Maybe<&2, T.Pos>, re: {S.solve(G.knowledge(G.Game{w, h, layout, s, f, T.Playing{}})) == r : Maybe<&2, T.Pos>}, +k: Nat) ->
  Exists(T.Pos, p => L.ProvablySafe(G.knowledge(G.Game{w, h, layout, s, f, T.Playing{}}), p) &
    ({G.status(G.assist.pick(r, G.Game{w, h, layout, s, f, T.Playing{}}, k)) == T.Lost{T.AssistTooEarly{p}} : T.Status} &
     {G.knowledge(G.assist.pick(r, G.Game{w, h, layout, s, f, T.Playing{}}, k)) == G.knowledge(G.Game{w, h, layout, s, f, T.Playing{}}) : T.Knowledge})):
  match r:
    case Some{p}:
      +k0 = G.knowledge(G.Game{w, h, layout, s, f, T.Playing{}})
      (p, (PV.solve_safe(k0, p, re), ({==}, {==})))
    case None{}:
      +k0 = G.knowledge(G.Game{w, h, layout, s, f, T.Playing{}})
      Empty.absurd(Exists(T.Pos, p => L.ProvablySafe(k0, p) &
        ({G.status(G.assist.pick(None{}, G.Game{w, h, layout, s, f, T.Playing{}}, k)) == T.Lost{T.AssistTooEarly{p}} : T.Status} &
         {G.knowledge(G.assist.pick(None{}, G.Game{w, h, layout, s, f, T.Playing{}}, k)) == k0 : T.Knowledge})),
        PV.solve_stuck(k0, re)(q, option))

Uses (21):
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Bool
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Empty.absurd
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Exists
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=List
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Maybe
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Nat
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Pair
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Sigma
  https://jend.leeeet.dev/definition.txt?path=minebender-game@1.0.0.0/LAWS.bend&name=ProvablySafe
  https://jend.leeeet.dev/definition.txt?path=minebender-game@1.0.0.0/game.bend&name=Game
  https://jend.leeeet.dev/definition.txt?path=minebender-game@1.0.0.0/game.bend&name=assist.pick
  https://jend.leeeet.dev/definition.txt?path=minebender-game@1.0.0.0/game.bend&name=knowledge
  https://jend.leeeet.dev/definition.txt?path=minebender-game@1.0.0.0/game.bend&name=status
  https://jend.leeeet.dev/definition.txt?path=minebender-game@1.0.0.0/proof_solver.bend&name=solve_safe
  https://jend.leeeet.dev/definition.txt?path=minebender-game@1.0.0.0/proof_solver.bend&name=solve_stuck
  https://jend.leeeet.dev/definition.txt?path=minebender-game@1.0.0.0/solver.bend&name=solve
  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=Knowledge
  https://jend.leeeet.dev/definition.txt?path=minebender-game@1.0.0.0/types.bend&name=Loss
  https://jend.leeeet.dev/definition.txt?path=minebender-game@1.0.0.0/types.bend&name=Pos
  https://jend.leeeet.dev/definition.txt?path=minebender-game@1.0.0.0/types.bend&name=Status