Theorem ifchhv

Description: Prove if ( A e. CH , A , ~H ) e. CH . (Contributed by David A. Wheeler, 8-Dec-2018) (New usage is discouraged.)

	Ref	Expression
Assertion	ifchhv	⊢ if ( 𝐴 ∈ Cℋ , 𝐴 , ℋ ) ∈ Cℋ

Proof

Step	Hyp	Ref	Expression
1		helch	⊢ ℋ ∈ Cℋ
2	1	elimel	⊢ if ( 𝐴 ∈ Cℋ , 𝐴 , ℋ ) ∈ Cℋ