Users' Mathboxes Mathbox for Wolf Lammen < Previous   Next >
Nearby theorems
Mirrors  >  Home  >  MPE Home  >  Th. List  >   Mathboxes  >  wl-embantALT Structured version   Unicode version

Theorem wl-embantALT 29538
Description: Proof of wl-embant 29537 not based on ax-3 8. (Contributed by Wolf Lammen, 4-Oct-2013.) (Proof modification is discouraged.) (New usage is discouraged.)
Hypotheses
Ref Expression
wl-embant.1  |-  ph
wl-embant.2  |-  ( ps 
->  ch )
Assertion
Ref Expression
wl-embantALT  |-  ( (
ph  ->  ps )  ->  ch )

Proof of Theorem wl-embantALT
StepHypRef Expression
1 wl-embant.1 . 2  |-  ph
2 wl-embant.2 . . 3  |-  ( ps 
->  ch )
32imim2i 14 . 2  |-  ( (
ph  ->  ps )  -> 
( ph  ->  ch )
)
41, 3mpi 17 1  |-  ( (
ph  ->  ps )  ->  ch )
Colors of variables: wff setvar class
Syntax hints:    -> wi 4
This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7
This theorem is referenced by: (None)
  Copyright terms: Public domain W3C validator