let x be Element of SCM-Instr ; for mk, ml being Element of SCM-Data-Loc
for I being Element of Segm 9 st x = [I,{},<*mk,ml*>] holds
( x address_1 = mk & x address_2 = ml )
let mk, ml be Element of SCM-Data-Loc ; for I being Element of Segm 9 st x = [I,{},<*mk,ml*>] holds
( x address_1 = mk & x address_2 = ml )
let I be Element of Segm 9; ( x = [I,{},<*mk,ml*>] implies ( x address_1 = mk & x address_2 = ml ) )
assume A1:
x = [I,{},<*mk,ml*>]
; ( x address_1 = mk & x address_2 = ml )
then consider f being FinSequence of SCM-Data-Loc such that
A2:
f = x `3_3
and
A3:
x address_1 = f /. 1
by Def3;
f = <*mk,ml*>
by A1, A2;
hence
x address_1 = mk
by A3, FINSEQ_4:17; x address_2 = ml
consider f being FinSequence of SCM-Data-Loc such that
A4:
f = x `3_3
and
A5:
x address_2 = f /. 2
by A1, Def4;
f = <*mk,ml*>
by A1, A4;
hence
x address_2 = ml
by A5, FINSEQ_4:17; verum