let I be Element of Segm 8; :: thesis: for S being non empty 1-sorted
for x being Element of SCM-Instr S
for mk, ml being Element of SCM-Data-Loc st x = [I,<*mk,ml*>] holds
( x address_1 = mk & x address_2 = ml )
let S be non empty 1-sorted ; :: thesis: for x being Element of SCM-Instr S
for mk, ml being Element of SCM-Data-Loc st x = [I,<*mk,ml*>] holds
( x address_1 = mk & x address_2 = ml )
let x be Element of SCM-Instr S; :: thesis: for mk, ml being Element of SCM-Data-Loc st x = [I,<*mk,ml*>] holds
( x address_1 = mk & x address_2 = ml )
let mk, ml be Element of SCM-Data-Loc ; :: thesis: ( x = [I,<*mk,ml*>] implies ( x address_1 = mk & x address_2 = ml ) )
assume A1: x = [I,<*mk,ml*>] ; :: thesis: ( x address_1 = mk & x address_2 = ml )
then consider f being FinSequence of SCM-Data-Loc such that
A2: f = x `2 and
A3: x address_1 = f /. 1 by Def7;
f = <*mk,ml*> by A1, A2, MCART_1:7;
hence x address_1 = mk by A3, FINSEQ_4:26; :: thesis: x address_2 = ml
consider f being FinSequence of SCM-Data-Loc such that
A4: f = x `2 and
A5: x address_2 = f /. 2 by A1, Def8;
f = <*mk,ml*> by A1, A4, MCART_1:7;
hence x address_2 = ml by A5, FINSEQ_4:26; :: thesis: verum