ProofGrow.take_succ_get: law of lawful-bytes@0.1.1.0
Import: import lawful-bytes@0.1.1.0/proof_grow.bend as ProofGrow
Lines 310-315 of lawful-bytes@0.1.1.0/proof_grow.bend: https://jend.leeeet.dev/read.txt?path=lawful-bytes@0.1.1.0/proof_grow.bend&start_line=310&end_line=315

import Base

law take_succ_get:
  for +xs: List<&2, U32>
  for +j: Nat
  for +w: U32
  for +hg: {List.get(&2, U32, xs, j) == Some{w} : Maybe<&2, U32>}
  {List.take(&2, U32, xs, Nat.add(j, 1n)) == List.append(&2, U32, List.take(&2, U32, xs, j), [w]) : List<&2, U32>}

Uses (16):
  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.cong
  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.append
  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.take
  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=Nat.add
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=U32
  https://jend.leeeet.dev/definition.txt?path=lawful-arrays@0.1.0.0/proof_base.bend&name=false_ne_true
  https://jend.leeeet.dev/definition.txt?path=lawful-arrays@0.1.0.0/proof_index.bend&name=unsome
  https://jend.leeeet.dev/definition.txt?path=lawful-bytes@0.1.1.0/proof_grow.bend&name=mtag
  https://jend.leeeet.dev/definition.txt?path=lawful-bytes@0.1.1.0/proof_seq.bend&name=take_zero