let I be Element of Segm 14; :: thesis: for x being Element of SCMPDS-Instr
for k being Integer st x = [I,<*k*>] holds
x const_INT = k
let x be Element of SCMPDS-Instr ; :: thesis: for k being Integer st x = [I,<*k*>] holds
x const_INT = k
let k be Integer; :: thesis: ( x = [I,<*k*>] implies x const_INT = k )
assume A1: x = [I,<*k*>] ; :: thesis: x const_INT = k
then consider f being FinSequence of INT such that
A2: f = x `2 and
A3: x const_INT = f /. 1 by Def11;
( k is Element of INT & f = <*k*> ) by A1, A2, INT_1:def 2, MCART_1:7;
hence x const_INT = k by A3, FINSEQ_4:25; :: thesis: verum