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Mirrors > Home > MPE Home > Th. List > 19.21t | Structured version Visualization version Unicode version |
Description: Closed form of Theorem 19.21 of [Margaris] p. 90, see 19.21 1998. (Contributed by NM, 27-May-1997.) (Revised by Mario Carneiro, 24-Sep-2016.) (Proof shortened by Wolf Lammen, 3-Jan-2018.) |
Ref | Expression |
---|---|
19.21t |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | nfr 1962 |
. . 3
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2 | alim 1694 |
. . 3
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3 | 1, 2 | syl9 73 |
. 2
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4 | 19.9t 1980 |
. . . 4
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5 | 4 | imbi1d 323 |
. . 3
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6 | 19.38 1723 |
. . 3
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7 | 5, 6 | syl6bir 237 |
. 2
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8 | 3, 7 | impbid 195 |
1
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Colors of variables: wff setvar class |
Syntax hints: ![]() ![]() ![]() ![]() ![]() |
This theorem was proved from axioms: ax-mp 5 ax-1 6 ax-2 7 ax-3 8 ax-gen 1680 ax-4 1693 ax-5 1769 ax-6 1816 ax-7 1862 ax-10 1926 ax-12 1944 |
This theorem depends on definitions: df-bi 190 df-an 377 df-ex 1675 df-nf 1679 |
This theorem is referenced by: 19.21 1998 19.23t 2002 nfimd 2011 sbal1 2300 sbal2 2301 r19.21t 2797 r19.21tOLD 2798 ceqsalt 3082 sbciegft 3310 bj-ceqsalt0 31528 bj-ceqsalt1 31529 wl-sbhbt 31928 wl-2sb6d 31934 wl-sbalnae 31938 ax12indalem 32562 ax12inda2ALT 32563 |
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