ILE Home Intuitionistic Logic Explorer < Previous   Next >
Nearby theorems
Mirrors  >  Home  >  ILE Home  >  Th. List  >  a16gb Structured version   Unicode version

Theorem a16gb 1742
Description: A generalization of axiom ax-16 1692. (Contributed by NM, 5-Aug-1993.)
Assertion
Ref Expression
a16gb
Distinct variable group:   ,
Allowed substitution hints:   (,,)

Proof of Theorem a16gb
StepHypRef Expression
1 a16g 1741 . 2
2 ax-4 1397 . 2
31, 2impbid1 130 1
Colors of variables: wff set class
Syntax hints:   wi 4   wb 98  wal 1240
This theorem was proved from axioms:  ax-1 5  ax-2 6  ax-mp 7  ax-ia1 99  ax-ia2 100  ax-ia3 101  ax-io 629  ax-5 1333  ax-7 1334  ax-gen 1335  ax-ie1 1379  ax-ie2 1380  ax-8 1392  ax-10 1393  ax-11 1394  ax-i12 1395  ax-4 1397  ax-17 1416  ax-i9 1420  ax-ial 1424
This theorem depends on definitions:  df-bi 110  df-nf 1347  df-sb 1643
This theorem is referenced by: (None)
  Copyright terms: Public domain W3C validator