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Theorem dral1-o 2233
Description: Formula-building lemma for use with the Distinctor Reduction Theorem. Part of Theorem 9.4 of [Megill] p. 448 (p. 16 of preprint). Version of dral1 2067 using ax-c11 2218. (Contributed by NM, 24-Nov-1994.) (New usage is discouraged.)
Hypothesis
Ref Expression
dral1-o.1
Assertion
Ref Expression
dral1-o

Proof of Theorem dral1-o
StepHypRef Expression
1 hbae-o 2232 . . . 4
2 dral1-o.1 . . . . 5
32biimpd 207 . . . 4
41, 3alimdh 1638 . . 3
5 ax-c11 2218 . . 3
64, 5syld 44 . 2
7 hbae-o 2232 . . . 4
82biimprd 223 . . . 4
97, 8alimdh 1638 . . 3
10 ax-c11 2218 . . . 4
1110aecoms-o 2231 . . 3
129, 11syld 44 . 2
136, 12impbid 191 1
Colors of variables: wff setvar class
Syntax hints:  ->wi 4  <->wb 184  A.wal 1393
This theorem is referenced by:  ax12  2234  ax16g-o  2264  ax12indalem  2275  ax12inda2ALT  2276
This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8  ax-gen 1618  ax-4 1631  ax-5 1704  ax-6 1747  ax-7 1790  ax-11 1842  ax-c5 2214  ax-c4 2215  ax-c7 2216  ax-c11 2218  ax-c9 2221
This theorem depends on definitions:  df-bi 185  df-ex 1613
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