ProofCells.contains_row.go: def of minebender-game@1.0.0.0
Import: import minebender-game@1.0.0.0/proof_cells.bend as ProofCells
Lines 160-174 of minebender-game@1.0.0.0/proof_cells.bend: https://jend.leeeet.dev/read.txt?path=minebender-game@1.0.0.0/proof_cells.bend&start_line=160&end_line=174

import Base
import minebender-game@1.0.0.0/types.bend as T
import minebender-game@1.0.0.0/board.bend as B
import minebender-game@1.0.0.0/proof_base.bend as P

def contains_row.go(+y: Nat, +a: Nat, +t: List<&2, Nat>, +x: Nat, +b: Bool,
  e: {Bool.or(b, memn(t, x)) == True{} : Bool}, be: {Nat.is_eq(a, x) == b : Bool},
  ih: {memn(t, x) == True{} : Bool} -> {B.contains(B.row_cells(y, t), T.Pos{x, y}) == True{} : Bool}) ->
  {Bool.or(B.same(T.Pos{a, y}, T.Pos{x, y}), B.contains(B.row_cells(y, t), T.Pos{x, y})) == True{} : Bool}:
  match b:
    case True{}:
      %Equal.sym(Bool, Nat.is_eq(a, x), True{}, be) :
        {Bool.or(Bool.and(_, Nat.is_eq(y, y)), B.contains(B.row_cells(y, t), T.Pos{x, y})) == True{} : Bool}
      %Equal.sym(Bool, Nat.is_eq(y, y), True{}, P.eq_refl(y)) :
        {Bool.or(Bool.and(True{}, _), B.contains(B.row_cells(y, t), T.Pos{x, y})) == True{} : Bool}
      {==}
    case False{}:
      %Equal.sym(Bool, B.contains(B.row_cells(y, t), T.Pos{x, y}), True{}, ih(e)) :
        {Bool.or(B.same(T.Pos{a, y}, T.Pos{x, y}), _) == True{} : Bool}
      or_true_r(B.same(T.Pos{a, y}, T.Pos{x, y}))

Uses (14):
  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=Bool.or
  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=Nat
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Nat.is_eq
  https://jend.leeeet.dev/definition.txt?path=minebender-game@1.0.0.0/board.bend&name=contains
  https://jend.leeeet.dev/definition.txt?path=minebender-game@1.0.0.0/board.bend&name=row_cells
  https://jend.leeeet.dev/definition.txt?path=minebender-game@1.0.0.0/board.bend&name=same
  https://jend.leeeet.dev/definition.txt?path=minebender-game@1.0.0.0/proof_base.bend&name=eq_refl
  https://jend.leeeet.dev/definition.txt?path=minebender-game@1.0.0.0/proof_cells.bend&name=memn
  https://jend.leeeet.dev/definition.txt?path=minebender-game@1.0.0.0/proof_cells.bend&name=or_true_r
  https://jend.leeeet.dev/definition.txt?path=minebender-game@1.0.0.0/types.bend&name=Pos