ProofGen.gen_row_first: law of minebender-game@1.0.0.0
Import: import minebender-game@1.0.0.0/proof_gen.bend as ProofGen
Lines 106-116 of minebender-game@1.0.0.0/proof_gen.bend: https://jend.leeeet.dev/read.txt?path=minebender-game@1.0.0.0/proof_gen.bend&start_line=106&end_line=116

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

# A cell of a generated row that is in the zone has no mine.
law gen_row_first:
  for +z: G.Zone
  for +y: Nat
  for +xs: List<&2, Nat>
  for +j: Nat
  for +x: Nat
  for +st: G.GenState
  for e: {List.get(&2, Nat, xs, j) == Some{x} : Maybe<&2, Nat>}
  for +s: {G.gen.out(z, T.Pos{x, y}) == True{} : Bool}
  {List.get(&2, Bool, G.gen.row(z, y, xs, st), j) == Some{False{}} : Maybe<&2, Bool>}

Uses (17):
  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=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.get
  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=minebender-game@1.0.0.0/game.bend&name=GenState
  https://jend.leeeet.dev/definition.txt?path=minebender-game@1.0.0.0/game.bend&name=Zone
  https://jend.leeeet.dev/definition.txt?path=minebender-game@1.0.0.0/game.bend&name=gen.bit
  https://jend.leeeet.dev/definition.txt?path=minebender-game@1.0.0.0/game.bend&name=gen.next
  https://jend.leeeet.dev/definition.txt?path=minebender-game@1.0.0.0/game.bend&name=gen.out
  https://jend.leeeet.dev/definition.txt?path=minebender-game@1.0.0.0/game.bend&name=gen.row
  https://jend.leeeet.dev/definition.txt?path=minebender-game@1.0.0.0/proof_gen.bend&name=gen_bit_first
  https://jend.leeeet.dev/definition.txt?path=minebender-game@1.0.0.0/proof_grid.bend&name=know_row_get.none
  https://jend.leeeet.dev/definition.txt?path=minebender-game@1.0.0.0/proof_grid.bend&name=know_row_get.some
  https://jend.leeeet.dev/definition.txt?path=minebender-game@1.0.0.0/types.bend&name=Pos