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Theorem dral1ALT 2175
 Description: Alternate proof of dral1 2174, shorter but requiring ax-11 1937. (Contributed by NM, 24-Nov-1994.) (Proof shortened by Wolf Lammen, 22-Apr-2018.) (New usage is discouraged.) (Proof modification is discouraged.)
Hypothesis
Ref Expression
dral1.1
Assertion
Ref Expression
dral1ALT

Proof of Theorem dral1ALT
StepHypRef Expression
1 dral1.1 . . 3
21dral2 2173 . 2
3 axc11 2163 . . 3
4 axc11r 2040 . . 3
53, 4impbid 195 . 2
62, 5bitrd 261 1
 Colors of variables: wff setvar class Syntax hints:   wi 4   wb 189  wal 1450 This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8  ax-gen 1677  ax-4 1690  ax-5 1766  ax-6 1813  ax-7 1859  ax-10 1932  ax-11 1937  ax-12 1950  ax-13 2104 This theorem depends on definitions:  df-bi 190  df-an 378  df-ex 1672  df-nf 1676 This theorem is referenced by: (None)
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