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Theorem 4atexlemkl 30755
 Description: Lemma for 4atexlem7 30773. (Contributed by NM, 23-Nov-2012.)
Hypothesis
Ref Expression
4thatlem.ph
Assertion
Ref Expression
4atexlemkl

Proof of Theorem 4atexlemkl
StepHypRef Expression
1 4thatlem.ph . . 3
214atexlemk 30745 . 2
3 hllat 30062 . 2
42, 3syl 16 1
 Colors of variables: wff set class Syntax hints:   wn 3   wi 4   wb 177   wa 359   w3a 936   wceq 1652   wcel 1725   wne 2598   class class class wbr 4204  (class class class)co 6073  clat 14464  chlt 30049 This theorem is referenced by:  4atexlemunv  30764  4atexlemtlw  30765  4atexlemc  30767  4atexlemnclw  30768  4atexlemex2  30769  4atexlemcnd  30770 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-7 1749  ax-11 1761  ax-12 1950  ax-ext 2416 This theorem depends on definitions:  df-bi 178  df-or 360  df-an 361  df-3an 938  df-tru 1328  df-ex 1551  df-nf 1554  df-sb 1659  df-clab 2422  df-cleq 2428  df-clel 2431  df-nfc 2560  df-ne 2600  df-ral 2702  df-rex 2703  df-rab 2706  df-v 2950  df-dif 3315  df-un 3317  df-in 3319  df-ss 3326  df-nul 3621  df-if 3732  df-sn 3812  df-pr 3813  df-op 3815  df-uni 4008  df-br 4205  df-iota 5410  df-fv 5454  df-ov 6076  df-atl 29997  df-cvlat 30021  df-hlat 30050
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