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

Theorem jaoian 708
Description: Inference disjoining the antecedents of two implications. (Contributed by NM, 23-Oct-2005.)
Hypotheses
Ref Expression
jaoian.1
jaoian.2
Assertion
Ref Expression
jaoian

Proof of Theorem jaoian
StepHypRef Expression
1 jaoian.1 . . . 4
21ex 108 . . 3
3 jaoian.2 . . . 4
43ex 108 . . 3
52, 4jaoi 635 . 2
65imp 115 1
Colors of variables: wff set class
Syntax hints:   wi 4   wa 97   wo 628
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
This theorem depends on definitions:  df-bi 110
This theorem is referenced by:  ordi  728  ccase  870
  Copyright terms: Public domain W3C validator