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Theorem 19.21ht 1470
Description: Closed form of Theorem 19.21 of [Margaris] p. 90. (Contributed by NM, 27-May-1997.) (New usage is discouraged.)
Assertion
Ref Expression
19.21ht

Proof of Theorem 19.21ht
StepHypRef Expression
1 alim 1343 . . . . 5
21imim2d 48 . . . 4
32com12 27 . . 3
43sps 1427 . 2
5 hba1 1430 . . . 4
6 ax-4 1397 . . . 4
7 hba1 1430 . . . . 5
87a1i 9 . . . 4
95, 6, 8hbimd 1462 . . 3
10 ax-4 1397 . . . . 5
1110imim2i 12 . . . 4
1211alimi 1341 . . 3
139, 12syl6 29 . 2
144, 13impbid 120 1
Colors of variables: wff set class
Syntax hints:   wi 4   wb 98  wal 1240
This theorem was proved from axioms:  ax-1 5  ax-2 6  ax-mp 7  ax-ia2 100  ax-ia3 101  ax-5 1333  ax-gen 1335  ax-4 1397  ax-ial 1424  ax-i5r 1425
This theorem depends on definitions:  df-bi 110
This theorem is referenced by:  19.21t  1471  sbal2  1895
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