Database
REAL AND COMPLEX NUMBERS
Real and complex numbers - basic operations
Subtraction
subid1d
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negidd
Metamath Proof Explorer
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Unicode
Theorem
subid1d
Description:
Identity law for subtraction.
(Contributed by
Mario Carneiro
, 27-May-2016)
Ref
Expression
Hypothesis
negidd.1
⊢
φ
→
A
∈
ℂ
Assertion
subid1d
⊢
φ
→
A
−
0
=
A
Proof
Step
Hyp
Ref
Expression
1
negidd.1
⊢
φ
→
A
∈
ℂ
2
subid1
⊢
A
∈
ℂ
→
A
−
0
=
A
3
1
2
syl
⊢
φ
→
A
−
0
=
A