let N be non empty with_non-empty_elements set ; :: thesis: for S being non empty stored-program IC-Ins-separated definite realistic standard-ins homogeneous regular J/A-independent COM-Struct of N
for g being FinPartState of S
for k being Element of NAT holds IC S in dom (Relocated (g,k))
let S be non empty stored-program IC-Ins-separated definite realistic standard-ins homogeneous regular J/A-independent COM-Struct of N; :: thesis: for g being FinPartState of S
for k being Element of NAT holds IC S in dom (Relocated (g,k))
let g be FinPartState of S; :: thesis: for k being Element of NAT holds IC S in dom (Relocated (g,k))
let k be Element of NAT ; :: thesis: IC S in dom (Relocated (g,k))
( Relocated (g,k) = (IncrIC ((NPP g),k)) +* (Reloc ((ProgramPart g),k)) & IC S in dom (IncrIC ((NPP g),k)) ) by Th53;
hence IC S in dom (Relocated (g,k)) by FUNCT_4:13; :: thesis: verum