Metamath Proof Explorer


Theorem 1p2e3ALT

Description: Alternate proof of 1p2e3 , shorter but using more axioms. (Contributed by David A. Wheeler, 8-Dec-2018) (New usage is discouraged.) (Proof modification is discouraged.)

Ref Expression
Assertion 1p2e3ALT ⊢ 1 + 2 = 3

Proof

Step Hyp Ref Expression
1 2cn ⊢ 2 ∈ ℂ
2 ax-1cn ⊢ 1 ∈ ℂ
3 2p1e3 ⊢ 2 + 1 = 3
4 1 2 3 addcomli ⊢ 1 + 2 = 3