Theorem sq0

Description: The square of 0 is 0. (Contributed by NM, 6-Jun-2006)

	Ref	Expression
Assertion	sq0	⊢ ( 0 ↑ 2 ) = 0

Proof

Step	Hyp	Ref	Expression
1		eqid	⊢ 0 = 0
2		0cn	⊢ 0 ∈ ℂ
3	2	sqeq0i	⊢ ( ( 0 ↑ 2 ) = 0 ↔ 0 = 0 )
4	1 3	mpbir	⊢ ( 0 ↑ 2 ) = 0