let N be with_non-empty_elements set ; :: thesis: for A being non empty stored-program IC-Ins-separated steady-programmed definite AMI-Struct of N
for s being State of
for o being Object of
for f being Instruction-Location of A
for I being Instruction of
for w being Element of ObjectKind o st f <> o holds
(Exec I,s) . f = (Exec I,(s +* o,w)) . f
let A be non empty stored-program IC-Ins-separated steady-programmed definite AMI-Struct of N; :: thesis: for s being State of
for o being Object of
for f being Instruction-Location of A
for I being Instruction of
for w being Element of ObjectKind o st f <> o holds
(Exec I,s) . f = (Exec I,(s +* o,w)) . f
let s be State of ; :: thesis: for o being Object of
for f being Instruction-Location of A
for I being Instruction of
for w being Element of ObjectKind o st f <> o holds
(Exec I,s) . f = (Exec I,(s +* o,w)) . f
let o be Object of ; :: thesis: for f being Instruction-Location of A
for I being Instruction of
for w being Element of ObjectKind o st f <> o holds
(Exec I,s) . f = (Exec I,(s +* o,w)) . f
let f be Instruction-Location of A; :: thesis: for I being Instruction of
for w being Element of ObjectKind o st f <> o holds
(Exec I,s) . f = (Exec I,(s +* o,w)) . f
let I be Instruction of ; :: thesis: for w being Element of ObjectKind o st f <> o holds
(Exec I,s) . f = (Exec I,(s +* o,w)) . f
let w be Element of ObjectKind o; :: thesis: ( f <> o implies (Exec I,s) . f = (Exec I,(s +* o,w)) . f )
assume A1: f <> o ; :: thesis: (Exec I,s) . f = (Exec I,(s +* o,w)) . f
thus (Exec I,s) . f = s . f by AMI_1:def 13
.= (s +* o,w) . f by A1, FUNCT_7:34
.= (Exec I,(s +* o,w)) . f by AMI_1:def 13 ; :: thesis: verum