def tb.gas_b

bend-osdev-acpi@0.1.1.0 · PROOF_tables.bend:35

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

35def 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>}:
36  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)))