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Axiom ax-ie1 1398
Description:  x is bound in  E. x ph. One of the axioms of predicate logic. (Contributed by Mario Carneiro, 31-Jan-2015.)
Assertion
Ref Expression
ax-ie1  |-  ( E. x ph  ->  A. x E. x ph )

Detailed syntax breakdown of Axiom ax-ie1
StepHypRef Expression
1 wph . . 3  wff  ph
2 vx . . 3  setvar  x
31, 2wex 1397 . 2  wff  E. x ph
43, 2wal 1257 . 2  wff  A. x E. x ph
53, 4wi 4 1  wff  ( E. x ph  ->  A. x E. x ph )
Colors of variables: wff set class
This axiom is referenced by:  hbe1  1400  sbidm  1747
  Copyright terms: Public domain W3C validator