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

Theorem exlimih 1822
 Description: Inference from Theorem 19.23 of [Margaris] p. 90. (Contributed by NM, 5-Aug-1993.) (Proof shortened by Andrew Salmon, 13-May-2011.) (Proof shortened by Wolf Lammen, 1-Jan-2018.)
Hypotheses
Ref Expression
exlimih.1
exlimih.2
Assertion
Ref Expression
exlimih

Proof of Theorem exlimih
StepHypRef Expression
1 exlimih.1 . . 3
21nfi 1560 . 2
3 exlimih.2 . 2
42, 3exlimi 1821 1
 Colors of variables: wff set class Syntax hints:   wi 4  wal 1549  wex 1550 This theorem is referenced by:  ax12olem5OLD  2015  ax10lem2OLD  2026  a16gOLD  2049  ceqsex3OLD  26700  a16gNEW7  29483 This theorem was proved from axioms:  ax-1 5  ax-2 6  ax-3 7  ax-mp 8  ax-gen 1555  ax-5 1566  ax-17 1626  ax-9 1666  ax-8 1687  ax-6 1744  ax-11 1761 This theorem depends on definitions:  df-bi 178  df-ex 1551  df-nf 1554
 Copyright terms: Public domain W3C validator