def append_ok.go

lawful-bytes@0.1.1.0 · PROOF.bend:248

import Base
import lawful-bytes@0.1.1.0/defs.bend as D
import lawful-bytes@0.1.1.0/bytes.bend as B
import lawful-bytes@0.1.1.0/proof_core.bend as C
import lawful-bytes@0.1.1.0/proof_append.bend as X

248def append_ok.go(-dst: D.Bytes, -src: D.Bytes, +d: Nat, +s: U32, +n: U32, hd: {D.ok(dst, d) == True{} : Bool}, hc: {Nat.is_le(Nat.add(D.size(dst), U32.to_nat(n)), D.cap(dst)) == True{} : Bool}, m_dst: C.BMirror(dst), m_src: C.BMirror(src)) ->
249  {D.ok(Pair.fst(D.Bytes, D.Bytes, B.append(dst, src, s, n)), d) == True{} : Bool}:
250  (+l_dst, m2_dst) = m_dst
251  (+t_dst, +e_dst) = m2_dst
252  (+l_src, m2_src) = m_src
253  (+t_src, +e_src) = m2_src
254  %e_dst : {D.ok(Pair.fst(D.Bytes, D.Bytes, B.append(_, src, s, n)), d) == True{} : Bool}
255  %e_src : {D.ok(Pair.fst(D.Bytes, D.Bytes, B.append(C.BT(l_dst, t_dst), _, s, n)), d) == True{} : Bool}
256  +hd_t = C.tr(x => {D.ok(x, d) == True{} : Bool}, dst, l_dst, t_dst, e_dst, hd)
257  +hc_t = C.tr(x => {Nat.is_le(Nat.add(D.size(x), U32.to_nat(n)), D.cap(x)) == True{} : Bool}, dst, l_dst, t_dst, e_dst, hc)
258  X.append_ok_t(l_dst, t_dst, l_src, t_src, d, s, n, hd_t, hc_t)