Metamath Proof Explorer


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