Metamath Proof Explorer


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