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Arithmetic theorems
3p4e7
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3p5e8
Metamath Proof Explorer
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Unicode
Theorem
3p4e7
Description:
3 + 4 = 7.
(Contributed by
SN
, 24-Aug-2026)
Ref
Expression
Assertion
3p4e7
⊢
3
+
4
=
7
Proof
Step
Hyp
Ref
Expression
1
3cn
⊢
3
∈
ℂ
2
2cn
⊢
2
∈
ℂ
3
1
2
2
addassi
⊢
3
+
2
+
2
=
3
+
2
+
2
4
3p2e5
⊢
3
+
2
=
5
5
4
oveq1i
⊢
3
+
2
+
2
=
5
+
2
6
5p2e7
⊢
5
+
2
=
7
7
5
6
eqtri
⊢
3
+
2
+
2
=
7
8
2p2e4
⊢
2
+
2
=
4
9
8
oveq2i
⊢
3
+
2
+
2
=
3
+
4
10
3
7
9
3eqtr3ri
⊢
3
+
4
=
7