Theorem sqnegd

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

	Ref	Expression
Hypothesis	sqnegd.1	⊢ ( 𝜑 → 𝐴 ∈ ℂ )
Assertion	sqnegd	⊢ ( 𝜑 → ( - 𝐴 ↑ 2 ) = ( 𝐴 ↑ 2 ) )

Proof

Step	Hyp	Ref	Expression
1		sqnegd.1	⊢ ( 𝜑 → 𝐴 ∈ ℂ )
2		sqneg	⊢ ( 𝐴 ∈ ℂ → ( - 𝐴 ↑ 2 ) = ( 𝐴 ↑ 2 ) )
3	1 2	syl	⊢ ( 𝜑 → ( - 𝐴 ↑ 2 ) = ( 𝐴 ↑ 2 ) )