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Theorem rp-fakeimass 36168
 Description: A special case where implication appears to conform to a mixed associative law. (Contributed by Richard Penner, 29-Feb-2020.)
Assertion
Ref Expression
rp-fakeimass

Proof of Theorem rp-fakeimass
StepHypRef Expression
1 ax-1 6 . . . . . . . 8
21con3i 141 . . . . . . 7
32pm2.21d 110 . . . . . 6
43a1d 26 . . . . 5
5 ax-1 6 . . . . . 6
65a1d 26 . . . . 5
74, 6ja 165 . . . 4
8 ax-2 7 . . . . 5
98com3r 82 . . . 4
107, 9impbid2 208 . . 3
11 ax-1 6 . . . 4
1211, 62thd 244 . . 3
1310, 12jaoi 381 . 2
14 jarl 167 . . . . 5
1514orrd 380 . . . 4
1615a1d 26 . . 3
17 simplim 155 . . . . 5
1817orcd 394 . . . 4
1918a1i 11 . . 3
2016, 19bija 357 . 2
2113, 20impbii 191 1
 Colors of variables: wff setvar class Syntax hints:   wn 3   wi 4   wb 188   wo 370 This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8 This theorem depends on definitions:  df-bi 189  df-or 372 This theorem is referenced by: (None)
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