PROOFTables.tb.gas_b: def of bend-osdev-acpi@0.1.1.0
Import: import bend-osdev-acpi@0.1.1.0/PROOF_tables.bend as PROOFTables
Lines 35-36 of bend-osdev-acpi@0.1.1.0/PROOF_tables.bend: https://jend.leeeet.dev/read.txt?path=bend-osdev-acpi@0.1.1.0/PROOF_tables.bend&start_line=35&end_line=36

import Base
import bend-osdev-bytes@0.1.1.0/bytes.bend as B
import bend-osdev-bytes@0.1.1.0/LAWS.bend as BL

def tb.gas_b(+a: B.Octets, +q: B.Octets, +r: B.Octets, +k: Nat, +hk: {Nat.is_lt(k, B.Octets.len(q)) == True{} : Bool}) -> {B.Octets.at(q, k) == B.Octets.at(B.Octets.append(a, B.Octets.append(q, r)), Nat.add(B.Octets.len(a), k)) : Maybe<&2, U32>}:
  Equal.trans(Maybe<&2, U32>, B.Octets.at(q, k), B.Octets.at(B.Octets.append(q, r), k), B.Octets.at(B.Octets.append(a, B.Octets.append(q, r)), Nat.add(B.Octets.len(a), k)), Equal.sym(Maybe<&2, U32>, B.Octets.at(B.Octets.append(q, r), k), B.Octets.at(q, k), BL.octets_at_append_lt(q, r, k, hk)), Equal.sym(Maybe<&2, U32>, B.Octets.at(B.Octets.append(a, B.Octets.append(q, r)), Nat.add(B.Octets.len(a), k)), B.Octets.at(B.Octets.append(q, r), k), BL.octets_at_append_add(a, B.Octets.append(q, r), k)))

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=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=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=Nat.is_lt
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=U32
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-bytes@0.1.1.0/LAWS.bend&name=octets_at_append_add
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-bytes@0.1.1.0/LAWS.bend&name=octets_at_append_lt
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-bytes@0.1.1.0/bytes.bend&name=Octets
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-bytes@0.1.1.0/bytes.bend&name=Octets.append
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-bytes@0.1.1.0/bytes.bend&name=Octets.at
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-bytes@0.1.1.0/bytes.bend&name=Octets.len