Metamath Proof Explorer < Previous   Next > Nearby theorems Mirrors  >  Home  >  MPE Home  >  Th. List  >  rnlemOLD Unicode version

Theorem rnlemOLD 965
 Description: Lemma used in construction of real numbers. Obsolete as of 1-Jan-2020 because it no longer has any usages in set.mm and can be replaced by theorems such as simpll 753 and jca 532. (Contributed by NM, 4-Sep-1995.) (Proof shortened by Andrew Salmon, 26-Jun-2011.) (New usage is discouraged.) (Proof modification is discouraged.)
Assertion
Ref Expression
rnlemOLD

Proof of Theorem rnlemOLD
StepHypRef Expression
1 an4 824 . . . 4
21biimpi 194 . . 3
3 an42 825 . . . 4
43biimpri 206 . . 3
52, 4jca 532 . 2
63biimpi 194 . . 3
 Colors of variables: wff setvar class Syntax hints:  <->wb 184  /\wa 369 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 185  df-an 371