:: ARITHM semantic presentation
theorem
Th1
:
:: ARITHM:1
for b
1
being
complex
number
holds b
1
+
0
=
b
1
proof
end;
Lemma2
:
-
0
=
0
proof
end;
Lemma3
:
opp
0
=
0
proof
end;
theorem
Th2
:
:: ARITHM:2
for b
1
being
complex
number
holds b
1
*
0
=
0
proof
end;
theorem
Th3
:
:: ARITHM:3
for b
1
being
complex
number
holds 1
*
b
1
=
b
1
proof
end;
theorem
Th4
:
:: ARITHM:4
for b
1
being
complex
number
holds b
1
-
0
=
b
1
proof
end;
theorem
Th5
:
:: ARITHM:5
for b
1
being
complex
number
holds 0
/
b
1
=
0
proof
end;
Lemma6
: 1
"
=
1
proof
end;
theorem
Th6
:
:: ARITHM:6
for b
1
being
complex
number
holds b
1
/
1
=
b
1
proof
end;