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

Theorem alexim 1577
 Description: One direction of theorem 19.6 of [Margaris] p. 89. The converse holds given a decidability condition, as seen at alexdc 1551. (Contributed by Jim Kingdon, 2-Jul-2018.)
Assertion
Ref Expression
alexim

Proof of Theorem alexim
StepHypRef Expression
1 pm2.24 584 . . . . 5
21alimi 1385 . . . 4
3 exim 1531 . . . 4
42, 3syl 14 . . 3
5 nfv 1462 . . . 4
6519.9 1576 . . 3
74, 6syl6ib 159 . 2
8 dfnot 1303 . 2
97, 8sylibr 132 1
 Colors of variables: wff set class Syntax hints:   wn 3   wi 4  wal 1283   wfal 1290  wex 1422 This theorem was proved from axioms:  ax-1 5  ax-2 6  ax-mp 7  ax-ia1 104  ax-ia2 105  ax-ia3 106  ax-in1 577  ax-in2 578  ax-5 1377  ax-gen 1379  ax-ie1 1423  ax-ie2 1424  ax-4 1441  ax-17 1460  ax-ial 1468 This theorem depends on definitions:  df-bi 115  df-tru 1288  df-fal 1291  df-nf 1391 This theorem is referenced by:  exnalim  1578  exists2  2039
 Copyright terms: Public domain W3C validator