Theorem sqnegd

Description: The square of the negative of a number. (Contributed by Igor Ieskov, 21-Jan-2024)

	Ref	Expression
Hypothesis	sqnegd.1	|- ( ph -> A e. CC )
Assertion	sqnegd	|- ( ph -> ( -u A ^ 2 ) = ( A ^ 2 ) )

Proof

Step	Hyp	Ref	Expression
1		sqnegd.1	|- ( ph -> A e. CC )
2		sqneg	|- ( A e. CC -> ( -u A ^ 2 ) = ( A ^ 2 ) )
3	1 2	syl	|- ( ph -> ( -u A ^ 2 ) = ( A ^ 2 ) )