NFE Home New Foundations Explorer < Previous   Next >
Nearby theorems
Mirrors  >  Home  >  NFE Home  >  Th. List  >  mpanl12 Unicode version

Theorem mpanl12 663
Description: An inference based on modus ponens. (Contributed by NM, 13-Jul-2005.)
Hypotheses
Ref Expression
mpanl12.1
mpanl12.2
mpanl12.3
Assertion
Ref Expression
mpanl12

Proof of Theorem mpanl12
StepHypRef Expression
1 mpanl12.2 . 2
2 mpanl12.1 . . 3
3 mpanl12.3 . . 3
42, 3mpanl1 661 . 2
51, 4mpan 651 1
Colors of variables: wff setvar class
Syntax hints:   wi 4   wa 358
This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8
This theorem depends on definitions:  df-bi 177  df-an 360
This theorem is referenced by:  reuun1  3537  funprg  5149  mucnc  6131
  Copyright terms: Public domain W3C validator