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

Theorem mpjaodan 710
Description: Eliminate a disjunction in a deduction. A translation of natural deduction rule E ( elimination). (Contributed by Mario Carneiro, 29-May-2016.)
Hypotheses
Ref Expression
jaodan.1
jaodan.2
jaodan.3
Assertion
Ref Expression
mpjaodan

Proof of Theorem mpjaodan
StepHypRef Expression
1 jaodan.3 . 2
2 jaodan.1 . . 3
3 jaodan.2 . . 3
42, 3jaodan 709 . 2
51, 4mpdan 398 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:  mpjao3dan  1201  mullocprlem  6551  recexprlemloc  6603  z2ge  8509  fztri3or  8673  fzm1  8732  fzneuz  8733  expaddzaplem  8952  expnbnd  9025  nn0abscl  9229
  Copyright terms: Public domain W3C validator