Metamath Proof Explorer


Theorem 2p7e9

Description: 2 + 7 = 9. (Contributed by SN, 24-Aug-2026)

Ref Expression
Assertion 2p7e9 ⊢ 2 + 7 = 9

Proof

Step Hyp Ref Expression
1 2cn ⊢ 2 ∈ ℂ
2 5cn ⊢ 5 ∈ ℂ
3 1 2 1 addassi ⊢ 2 + 5 + 2 = 2 + 5 + 2
4 2p5e7 ⊢ 2 + 5 = 7
5 4 oveq1i ⊢ 2 + 5 + 2 = 7 + 2
6 7p2e9 ⊢ 7 + 2 = 9
7 5 6 eqtri ⊢ 2 + 5 + 2 = 9
8 5p2e7 ⊢ 5 + 2 = 7
9 8 oveq2i ⊢ 2 + 5 + 2 = 2 + 7
10 3 7 9 3eqtr3ri ⊢ 2 + 7 = 9