def same_view.go

lawful-bytes@0.1.1.0 · PROOF.bend:154

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_same.bend as S

154def same_view.go(-a: D.Bytes, -b: D.Bytes, +d: Nat, +e: Nat, +i: U32, +j: U32, +n: U32, ha: {D.ok(a, d) == True{} : Bool}, hb: {D.ok(b, e) == True{} : Bool}, hi: {Nat.is_le(Nat.add(U32.to_nat(i), U32.to_nat(n)), D.size(a)) == True{} : Bool}, hj: {Nat.is_le(Nat.add(U32.to_nat(j), U32.to_nat(n)), D.size(b)) == True{} : Bool}, m_a: C.BMirror(a), m_b: C.BMirror(b)) ->
155  {Pair.snd(D.Bytes, Bool, Pair.snd(D.Bytes, D.Bytes & Bool, B.same(a, i, b, j, n))) == D.list_eq(D.slice(D.view(a), U32.to_nat(i), U32.to_nat(n)), D.slice(D.view(b), U32.to_nat(j), U32.to_nat(n))) : Bool}:
156  (+l_a, m2_a) = m_a
157  (+t_a, +e_a) = m2_a
158  (+l_b, m2_b) = m_b
159  (+t_b, +e_b) = m2_b
160  %e_a : {Pair.snd(D.Bytes, Bool, Pair.snd(D.Bytes, D.Bytes & Bool, B.same(_, i, b, j, n))) == D.list_eq(D.slice(D.view(_), U32.to_nat(i), U32.to_nat(n)), D.slice(D.view(b), U32.to_nat(j), U32.to_nat(n))) : Bool}
161  %e_b : {Pair.snd(D.Bytes, Bool, Pair.snd(D.Bytes, D.Bytes & Bool, B.same(C.BT(l_a, t_a), i, _, j, n))) == D.list_eq(D.slice(D.view(C.BT(l_a, t_a)), U32.to_nat(i), U32.to_nat(n)), D.slice(D.view(_), U32.to_nat(j), U32.to_nat(n))) : Bool}
162  +ha_t = C.tr(x => {D.ok(x, d) == True{} : Bool}, a, l_a, t_a, e_a, ha)
163  +hb_t = C.tr(x => {D.ok(x, e) == True{} : Bool}, b, l_b, t_b, e_b, hb)
164  +hi_t = C.tr(x => {Nat.is_le(Nat.add(U32.to_nat(i), U32.to_nat(n)), D.size(x)) == True{} : Bool}, a, l_a, t_a, e_a, hi)
165  +hj_t = C.tr(x => {Nat.is_le(Nat.add(U32.to_nat(j), U32.to_nat(n)), D.size(x)) == True{} : Bool}, b, l_b, t_b, e_b, hj)
166  S.same_view_t(l_a, t_a, l_b, t_b, d, e, i, j, n, ha_t, hb_t, hi_t, hj_t)