ILE Home Intuitionistic Logic Explorer < Previous   Next >
Nearby theorems
Mirrors  >  Home  >  ILE Home  >  Th. List  >  19.36aiv Unicode version

Theorem 19.36aiv 1881
Description: Inference from Theorem 19.36 of [Margaris] p. 90. (Contributed by NM, 5-Aug-1993.)
Hypothesis
Ref Expression
19.36aiv.1  |-  E. x
( ph  ->  ps )
Assertion
Ref Expression
19.36aiv  |-  ( A. x ph  ->  ps )
Distinct variable group:    ps, x
Allowed substitution hint:    ph( x)

Proof of Theorem 19.36aiv
StepHypRef Expression
1 nfv 1508 . 2  |-  F/ x ps
2 19.36aiv.1 . 2  |-  E. x
( ph  ->  ps )
31, 219.36i 1652 1  |-  ( A. x ph  ->  ps )
Colors of variables: wff set class
Syntax hints:    -> wi 4   A.wal 1333   E.wex 1472
This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-ia1 105  ax-ia2 106  ax-ia3 107  ax-5 1427  ax-gen 1429  ax-ie1 1473  ax-ie2 1474  ax-4 1490  ax-17 1506  ax-ial 1514
This theorem depends on definitions:  df-bi 116  df-nf 1441
This theorem is referenced by:  vtocl2  2767  vtocl3  2768
  Copyright terms: Public domain W3C validator