Metamath Proof Explorer


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 ( 𝐴C , 𝐴 , ℋ ) ∈ C

Proof

Step Hyp Ref Expression
1 helch ℋ ∈ C
2 1 elimel if ( 𝐴C , 𝐴 , ℋ ) ∈ C