Database
REAL AND COMPLEX NUMBERS
Real and complex numbers - basic operations
Subtraction
negeqi
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negeqd
Metamath Proof Explorer
Ascii
Unicode
Theorem
negeqi
Description:
Equality inference for negatives.
(Contributed by
NM
, 14-Feb-1995)
Ref
Expression
Hypothesis
negeqi.1
⊢
A
=
B
Assertion
negeqi
⊢
−
A
=
−
B
Proof
Step
Hyp
Ref
Expression
1
negeqi.1
⊢
A
=
B
2
negeq
⊢
A
=
B
→
−
A
=
−
B
3
1
2
ax-mp
⊢
−
A
=
−
B