Theorem 2p3e5

Description: 2 + 3 = 5. (Contributed by SN, 24-Aug-2026)

	Ref	Expression
Assertion	2p3e5	|- ( 2 + 3 ) = 5

Proof

Step	Hyp	Ref	Expression
1		2cn	|- 2 e. CC
2		ax-1cn	|- 1 e. CC
3	1 2 1	addassi	|- ( ( 2 + 1 ) + 2 ) = ( 2 + ( 1 + 2 ) )
4		2p1e3	|- ( 2 + 1 ) = 3
5	4	oveq1i	|- ( ( 2 + 1 ) + 2 ) = ( 3 + 2 )
6		3p2e5	|- ( 3 + 2 ) = 5
7	5 6	eqtri	|- ( ( 2 + 1 ) + 2 ) = 5
8		1p2e3	|- ( 1 + 2 ) = 3
9	8	oveq2i	|- ( 2 + ( 1 + 2 ) ) = ( 2 + 3 )
10	3 7 9	3eqtr3ri	|- ( 2 + 3 ) = 5