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Theorem 19.21t 1795
Description: Closed form of Theorem 19.21 of [Margaris] p. 90. (Contributed by NM, 27-May-1997.) (Revised by Mario Carneiro, 24-Sep-2016.) (Proof shortened by Wolf Lammen, 3-Jan-2018.)
Assertion
Ref Expression
19.21t  F/

Proof of Theorem 19.21t
StepHypRef Expression
1 nfr 1761 . . 3  F/
2 ax-5 1557 . . 3
31, 2syl9 66 . 2  F/
4 19.9t 1779 . . . 4  F/
54imbi1d 308 . . 3  F/
6 19.38 1794 . . 3
75, 6syl6bir 220 . 2  F/
83, 7impbid 183 1  F/
Colors of variables: wff setvar class
Syntax hints:   wi 4   wb 176  wal 1540  wex 1541   F/wnf 1544
This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8  ax-gen 1546  ax-5 1557  ax-17 1616  ax-9 1654  ax-8 1675  ax-6 1729  ax-11 1746
This theorem depends on definitions:  df-bi 177  df-ex 1542  df-nf 1545
This theorem is referenced by:  19.21  1796  nfimd  1808  sbcom  2089  sbal2  2134  ax11indalem  2197  ax11inda2ALT  2198  r19.21t  2699  ceqsalt  2881  sbciegft  3076
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