instantiate conrefine-def , conbackward-INV < conbackwardINV-is-conrefine with IOconbackward-INV , IO-conrefine-def , embed-IT-OT by mapping : globalstate → globalstate, globalinputlist, globaloutputlist; : cstate → cstate, cinputlist, coutputlist; : astate → astate, ainputlist, aoutputlist; AOP → [λ i. embed(AOP(i))]; COP → [λ i. embed(COP(i))]; .s → [.as, .ail, .aol]; ' → [mkasio]; .s → [.cs, .cil, .col]; ' → [mkcsio]; .s → [.gs, .gil, .gol]; ' → [mkgsio]; ^ → [^]; ^ → [^]; ^ → [^]; ^ → [^]; ^ → [^]; ^ → [^]; ^ → [^]; ^ → [^]; dom → [dom]; ran → [ran]; dom → [dom]; ran → [ran]; -≫ → [-≫]; ≪- → [≪-]; ≪ → [≪]; CSEM → [CSEM]; CPROG → [CPROG]; ASEM → [ASEM]; APROG → [APROG]; ⊗ → [⊗]; ⊗ → [⊗]; ⊗ → [⊗]; ⊗ → [⊗]; ⊗ → [⊗]; ⊗ → [⊗]; ⊗ → [⊗]; ⊗ → [⊗]; ran → [ran]; ran → [ran]; ran → [ran]; dom → [dom]; dom → [dom]; dom → [dom]; ⊗ → [⊗]; ⊗ → [⊗]; ⊗ → [⊗]; ⊗ → [⊗]; ran → [ran]; ran → [ran]; ran → [ran]; dom → [dom]; dom → [dom]; dom → [dom]; ⊗ → [⊗]; ⊗ → [⊗]; ⊗ → [⊗]; ⊗ → [⊗]; AINIT → [embedinit(AINIT, AIN)]; AFIN → [embedfin(AFIN, AOUT)]; CINIT → [embedinit(CINIT, CIN)]; CFIN → [embedfin(CFIN, COUT)]; CINV → [λ cs, cil, col. CINV(cs)]; AINV → [λ as, ail, aol. AINV(as)]; T → [λ cs, cil, col, as, ail, aol. T(cs, as) ∧ (IT ^*)(cil, ail) ∧ (OT ^*)(col, aol)]; ⊆ → [⊆]; ⊆ → [⊆]; ⊆ → [⊆]; ⊆ → [⊆]; ⊆ → [⊆]; ⊆ → [⊆]; ⊆ → [⊆]; ⊆ → [⊆]; ⊆ → [⊆]; cs → cs, cil, col; as → as, ail, aol; cs' → cs', cil', col'; as' → as', ail', aol'; gs → gs, gil, gol; gs' → gs', gil', gol'; gs0 → gs0, gil0, gol0; gs1 → gs1, gil1, gol1; gs2 → gs2, gil2, gol2; cop → cioop; cop1 → cioop1; cop2 → cioop2; cinit → cioinit; cfin → ciofin; cs0 → cs0, cil0, col0; cs1 → cs1, cil1, col1; cs2 → cs2, cil2, col2; aop → aioop; aop1 → aioop1; aop2 → aioop2; ainit → aioinit; afin → aiofin; as0 → as0, ail0, aol0; as1 → as1, ail1, aol1; as2 → as2, ail2, aol2; cinit1 → cioinit1; cinit2 → cioinit2; cfin1 → ciofin1; cfin2 → ciofin2; ainit1 → aioinit1; ainit2 → aioinit2; afin1 → aiofin1; afin2 → aiofin2; cop⊥ → cop⊥; csem⊥ → csem⊥; cinit⊥ → cinit⊥; cfin⊥ → cfin⊥; aop⊥ → aop⊥; asem⊥ → asem⊥; ainit⊥ → ainit⊥; afin⊥ → afin⊥; ap → ap; asem → asem; gp → gp; cp → cp; csem → csem; t2 → t2; t1 → t1; t → t; r2 → r2; r1 → r1; cp2 → cp2; cp1 → cp1; r → r; cp⊥ → cp⊥; ap⊥ → ap⊥; cop⊥2 → cop⊥2; cop⊥1 → cop⊥1; aop⊥2 → aop⊥2; aop⊥1 → aop⊥1; t⊥ → t⊥; r⊥ → r⊥; rename end instantiate