Theorem ax5e 1706

Description: A rephrasing of ax-5 1704 using the existential quantifier. (Contributed by Wolf Lammen, 4-Dec-2017.)

Assertion

Ref	Expression
ax5e

Distinct variable group:   ,

Proof of Theorem ax5e

Step	Hyp	Ref	Expression
1		ax-5 1704	. 2
2		eximal 1615	. 2
3	1, 2	mpbir 209	1

Syntax hints:  -.wn 3  ->wi 4  A.wal 1393  E.wex 1612

This theorem is referenced by:  exlimiv  1722  exlimdv  1724  19.21v  1729  19.9v  1754  equid  1791  aev  1943  ac6s6f  30581  fnchoice  31404  bj-nfv  34227  bj-cbvexivw  34233  bj-snsetex  34521  bj-snglss  34528

This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8  ax-5 1704

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