Theorem 19.2g 2058

Description: Theorem 19.2 of [Margaris] p. 89, generalized to use two setvar variables. Use 19.2 1892 when sufficient. (Contributed by Mel L. O'Cat, 31-Mar-2008.)

Assertion

Ref	Expression
19.2g	|- ( A. x ph -> E. y ph )

Proof of Theorem 19.2g

Step	Hyp	Ref	Expression
1		19.8a 2052	. 2 |- ( ph -> E. y ph )
2	1	sps 2055	1 |- ( A. x ph -> E. y ph )

Syntax hints:   -> wi 4   A.wal 1481   E.wex 1704

This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8  ax-gen 1722  ax-4 1737  ax-5 1839  ax-6 1888  ax-7 1935  ax-12 2047

This theorem depends on definitions:  df-bi 197  df-ex 1705

This theorem is referenced by: (None)