ProofLists.get_in: law of minebender-game@1.0.0.0
Import: import minebender-game@1.0.0.0/proof_lists.bend as ProofLists
Lines 112-119 of minebender-game@1.0.0.0/proof_lists.bend: https://jend.leeeet.dev/read.txt?path=minebender-game@1.0.0.0/proof_lists.bend&start_line=112&end_line=119

import Base

# Inside a list, an index reads Some of its default.
law get_in:
  for -A: Data
  for +xs: List<&2, A>
  for +i: Nat
  for +d: A
  for e: {Nat.is_lt(i, List.length(&2, A, xs)) == True{} : Bool}
  {List.get(&2, A, xs, i) == Some{Maybe.default(&2, A, List.get(&2, A, xs, i), d)} : Maybe<&2, A>}

Uses (13):
  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=Equal.trans
  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=List.length
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Maybe
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Maybe.default
  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_lt
  https://jend.leeeet.dev/definition.txt?path=minebender-game@1.0.0.0/proof_base.bend&name=false_ne_true
  https://jend.leeeet.dev/definition.txt?path=minebender-game@1.0.0.0/proof_base.bend&name=lt_zero