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Theorem gt-lth 28470
 Description: Relationship between and using hypotheses. (Contributed by David A. Wheeler, 19-Apr-2015.) (New usage is discouraged.)
Hypotheses
Ref Expression
gt-lth.1
gt-lth.2
Assertion
Ref Expression
gt-lth

Proof of Theorem gt-lth
StepHypRef Expression
1 df-gt 28466 . . 3
21breqi 4218 . 2
3 gt-lth.1 . . 3
4 gt-lth.2 . . 3
53, 4brcnv 5055 . 2
62, 5bitri 241 1
 Colors of variables: wff set class Syntax hints:   wb 177   wcel 1725  cvv 2956   class class class wbr 4212  ccnv 4877   clt 9120   cgt 28464 This theorem is referenced by:  ex-gt  28471 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-14 1729  ax-6 1744  ax-7 1749  ax-11 1761  ax-12 1950  ax-ext 2417  ax-sep 4330  ax-nul 4338  ax-pr 4403 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-eu 2285  df-mo 2286  df-clab 2423  df-cleq 2429  df-clel 2432  df-nfc 2561  df-ne 2601  df-rab 2714  df-v 2958  df-dif 3323  df-un 3325  df-in 3327  df-ss 3334  df-nul 3629  df-if 3740  df-sn 3820  df-pr 3821  df-op 3823  df-br 4213  df-opab 4267  df-cnv 4886  df-gt 28466
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