Theorem exbidh 1676

Description: Formula-building rule for existential quantifier (deduction rule). (Contributed by NM, 26-May-1993.)

Hypotheses

Ref	Expression
exbidh.1
exbidh.2

Assertion

Ref	Expression
exbidh

Proof of Theorem exbidh

Step	Hyp	Ref	Expression
1		exbidh.1	. . 3
2		exbidh.2	. . 3
3	1, 2	alrimih 1642	. 2
4		exbi 1666	. 2
5	3, 4	syl 16	1

Syntax hints:  ->wi 4  <->wb 184  A.wal 1393  E.wex 1612

This theorem is referenced by:  exbidv  1714  exbid  1886  drex2  2070  ac6s6  30580

This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8  ax-gen 1618  ax-4 1631

This theorem depends on definitions:  df-bi 185  df-ex 1613