theorem Th2: :: MESFUN10:2

for seq1, seq2 being ExtREAL_sequence
for k being Nat st ( for n being Nat holds seq1 . n <= seq2 . n ) holds
( (inferior_realsequence seq1) . k <= (inferior_realsequence seq2) . k & (superior_realsequence seq1) . k <= (superior_realsequence seq2) . k )