def shift_ok.go

lawful-bytes@0.1.1.0 · PROOF.bend:352

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_shift.bend as H

352def shift_ok.go(-b: D.Bytes, +d: Nat, +k: U32, h: {D.ok(b, d) == True{} : Bool}, hk: {Nat.is_le(U32.to_nat(k), D.size(b)) == True{} : Bool}, m_b: C.BMirror(b)) ->
353  {D.ok(B.shift(b, k), d) == True{} : Bool}:
354  (+l_b, m2_b) = m_b
355  (+t_b, +e_b) = m2_b
356  %e_b : {D.ok(B.shift(_, k), d) == True{} : Bool}
357  +h_t = C.tr(x => {D.ok(x, d) == True{} : Bool}, b, l_b, t_b, e_b, h)
358  +hk_t = C.tr(x => {Nat.is_le(U32.to_nat(k), D.size(x)) == True{} : Bool}, b, l_b, t_b, e_b, hk)
359  H.shift_ok_t(l_b, t_b, d, k, h_t, hk_t)