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REAL AND COMPLEX NUMBERS
Elementary integer functions
Integer powers
sq0i
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sq0id
Metamath Proof Explorer
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Theorem
sq0i
Description:
If a number is zero, its square is zero.
(Contributed by
FL
, 10-Dec-2006)
Ref
Expression
Assertion
sq0i
⊢
A
=
0
→
A
2
=
0
Proof
Step
Hyp
Ref
Expression
1
oveq1
⊢
A
=
0
→
A
2
=
0
2
2
sq0
⊢
0
2
=
0
3
1
2
eqtrdi
⊢
A
=
0
→
A
2
=
0