Mathbox for Norm Megill < Previous   Next > Nearby theorems Mirrors  >  Home  >  MPE Home  >  Th. List  >   Mathboxes  >  4atexlemkc Structured version   Unicode version

Theorem 4atexlemkc 30857
 Description: Lemma for 4atexlem7 30874. (Contributed by NM, 23-Nov-2012.)
Hypothesis
Ref Expression
4thatlem.ph
Assertion
Ref Expression
4atexlemkc

Proof of Theorem 4atexlemkc
StepHypRef Expression
1 4thatlem.ph . . 3
214atexlemk 30846 . 2
3 hlcvl 30159 . 2
42, 3syl 16 1
 Colors of variables: wff set class Syntax hints:   wn 3   wi 4   wb 178   wa 360   w3a 937   wceq 1653   wcel 1726   wne 2601   class class class wbr 4214  (class class class)co 6083  clc 30065  chlt 30150 This theorem is referenced by:  4atexlemswapqr  30862  4atexlemunv  30865  4atexlemtlw  30866  4atexlemntlpq  30867  4atexlemc  30868  4atexlemnclw  30869  4atexlemex2  30870  4atexlemcnd  30871 This theorem was proved from axioms:  ax-1 5  ax-2 6  ax-3 7  ax-mp 8  ax-gen 1556  ax-5 1567  ax-17 1627  ax-9 1667  ax-8 1688  ax-6 1745  ax-7 1750  ax-11 1762  ax-12 1951  ax-ext 2419 This theorem depends on definitions:  df-bi 179  df-or 361  df-an 362  df-3an 939  df-tru 1329  df-ex 1552  df-nf 1555  df-sb 1660  df-clab 2425  df-cleq 2431  df-clel 2434  df-nfc 2563  df-ral 2712  df-rex 2713  df-rab 2716  df-v 2960  df-dif 3325  df-un 3327  df-in 3329  df-ss 3336  df-nul 3631  df-if 3742  df-sn 3822  df-pr 3823  df-op 3825  df-uni 4018  df-br 4215  df-iota 5420  df-fv 5464  df-ov 6086  df-hlat 30151
 Copyright terms: Public domain W3C validator