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Arithmetic theorems
1p4e5
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1p5e6
Metamath Proof Explorer
Ascii
Unicode
Theorem
1p4e5
Description:
1 + 4 = 5.
(Contributed by
SN
, 24-Aug-2026)
Ref
Expression
Assertion
1p4e5
⊢
1
+
4
=
5
Proof
Step
Hyp
Ref
Expression
1
df-4
⊢
4
=
3
+
1
2
1
oveq2i
⊢
1
+
4
=
1
+
3
+
1
3
ax-1cn
⊢
1
∈
ℂ
4
3cn
⊢
3
∈
ℂ
5
3
4
3
addassi
⊢
1
+
3
+
1
=
1
+
3
+
1
6
1p3e4
⊢
1
+
3
=
4
7
6
oveq1i
⊢
1
+
3
+
1
=
4
+
1
8
4p1e5
⊢
4
+
1
=
5
9
7
8
eqtri
⊢
1
+
3
+
1
=
5
10
2
5
9
3eqtr2i
⊢
1
+
4
=
5