Metamath Proof Explorer


Theorem 3p5e8

Description: 3 + 5 = 8. (Contributed by SN, 24-Aug-2026)

Ref Expression
Assertion 3p5e8 3 + 5 = 8

Proof

Step Hyp Ref Expression
1 3cn 3
2 2cn 2
3 1 2 1 addassi 3 + 2 + 3 = 3 + 2 + 3
4 3p2e5 3 + 2 = 5
5 4 oveq1i 3 + 2 + 3 = 5 + 3
6 5p3e8 5 + 3 = 8
7 5 6 eqtri 3 + 2 + 3 = 8
8 2p3e5 2 + 3 = 5
9 8 oveq2i 3 + 2 + 3 = 3 + 5
10 3 7 9 3eqtr3ri 3 + 5 = 8