NFE Home New Foundations Explorer < Previous   Next >
Nearby theorems
Mirrors  >  Home  >  NFE Home  >  Th. List  >  merco1lem7 Unicode version

Theorem merco1lem7 1487
Description: Used to rederive the Tarski-Bernays-Wajsberg axioms from merco1 1478. (Contributed by Anthony Hart, 17-Sep-2011.) (Proof modification is discouraged.) (New usage is discouraged.)
Assertion
Ref Expression
merco1lem7

Proof of Theorem merco1lem7
StepHypRef Expression
1 merco1lem5 1485 . . 3
2 merco1 1478 . . 3
31, 2ax-mp 5 . 2
4 merco1lem6 1486 . 2
53, 4ax-mp 5 1
Colors of variables: wff setvar class
Syntax hints:   wi 4   wfal 1317
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-tru 1319  df-fal 1320
This theorem is referenced by:  retbwax3  1488  merco1lem17  1498
  Copyright terms: Public domain W3C validator