ProofGen.cells_len: def of minebender-game@1.0.0.0
Import: import minebender-game@1.0.0.0/proof_gen.bend as ProofGen
Lines 1137-1143 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=1137&end_line=1143

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 cells_len(+w: Nat, +h: Nat) -> {List.length(&2, T.Pos, B.cells(w, h)) == Nat.mul(w, h) : Nat}:
  Equal.trans(Nat, List.length(&2, T.Pos, B.cells(w, h)),
    Nat.mul(List.length(&2, Nat, List.range(h)), w), Nat.mul(w, h),
    cells_go_len(w, List.range(h)),
    %Equal.sym(Nat, List.length(&2, Nat, List.range(h)), h, P.range_length(h)) :
      {Nat.mul(_, w) == Nat.mul(w, h) : Nat};
      P.mul_comm(h, w))

Uses (11):
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Equal.sym
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Equal.trans
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=List.length
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=List.range
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Nat
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Nat.mul
  https://jend.leeeet.dev/definition.txt?path=minebender-game@1.0.0.0/board.bend&name=cells
  https://jend.leeeet.dev/definition.txt?path=minebender-game@1.0.0.0/proof_base.bend&name=mul_comm
  https://jend.leeeet.dev/definition.txt?path=minebender-game@1.0.0.0/proof_base.bend&name=range_length
  https://jend.leeeet.dev/definition.txt?path=minebender-game@1.0.0.0/proof_gen.bend&name=cells_go_len
  https://jend.leeeet.dev/definition.txt?path=minebender-game@1.0.0.0/types.bend&name=Pos