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