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Arithmetic theorems
2p5e7
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2p6e8
Metamath Proof Explorer
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Theorem
2p5e7
Description:
2 + 5 = 7.
(Contributed by
SN
, 24-Aug-2026)
Ref
Expression
Assertion
2p5e7
⊢
2
+
5
=
7
Proof
Step
Hyp
Ref
Expression
1
2cn
⊢
2
∈
ℂ
2
3cn
⊢
3
∈
ℂ
3
1
2
1
addassi
⊢
2
+
3
+
2
=
2
+
3
+
2
4
2p3e5
⊢
2
+
3
=
5
5
4
oveq1i
⊢
2
+
3
+
2
=
5
+
2
6
5p2e7
⊢
5
+
2
=
7
7
5
6
eqtri
⊢
2
+
3
+
2
=
7
8
3p2e5
⊢
3
+
2
=
5
9
8
oveq2i
⊢
2
+
3
+
2
=
2
+
5
10
3
7
9
3eqtr3ri
⊢
2
+
5
=
7