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 ( A e. CH , A , ~H ) e. CH

Proof

Step Hyp Ref Expression
1 helch 
 |-  ~H e. CH
2 1 elimel 
 |-  if ( A e. CH , A , ~H ) e. CH