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

Theorem hbimd 1462
Description: Deduction form of bound-variable hypothesis builder hbim 1434. (Contributed by NM, 1-Jan-2002.) (Revised by NM, 2-Feb-2015.)
Hypotheses
Ref Expression
hbimd.1
hbimd.2
hbimd.3
Assertion
Ref Expression
hbimd

Proof of Theorem hbimd
StepHypRef Expression
1 hbimd.3 . . . 4
21imim2d 48 . . 3
3 ax-4 1397 . . . . 5
43imim1i 54 . . . 4
5 ax-i5r 1425 . . . 4
64, 5syl 14 . . 3
72, 6syl6 29 . 2
8 hbimd.1 . . 3
9 hbimd.2 . . . 4
109imim1d 69 . . 3
118, 10alimdh 1353 . 2
127, 11syld 40 1
Colors of variables: wff set class
Syntax hints:   wi 4  wal 1240
This theorem was proved from axioms:  ax-1 5  ax-2 6  ax-mp 7  ax-5 1333  ax-gen 1335  ax-4 1397  ax-i5r 1425
This theorem is referenced by:  hbbid  1464  19.21ht  1470  equveli  1639  dvelimfALT2  1695
  Copyright terms: Public domain W3C validator