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Mirrors > Home > NFE Home > Th. List > 19.43 | Unicode version |
Description: Theorem 19.43 of [Margaris] p. 90. (Contributed by NM, 5-Aug-1993.) (Proof shortened by Wolf Lammen, 27-Jun-2014.) |
Ref | Expression |
---|---|
19.43 |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | df-or 359 |
. . . 4
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2 | 1 | exbii 1582 |
. . 3
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3 | 19.35 1600 |
. . 3
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4 | alnex 1543 |
. . . 4
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5 | 4 | imbi1i 315 |
. . 3
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6 | 2, 3, 5 | 3bitri 262 |
. 2
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7 | df-or 359 |
. 2
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8 | 6, 7 | bitr4i 243 |
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 1546 ax-5 1557 |
This theorem depends on definitions: df-bi 177 df-or 359 df-an 360 df-ex 1542 |
This theorem is referenced by: 19.34 1663 19.44 1877 19.45 1878 rexun 3444 unipr 3906 uniun 3911 opeq 4620 unopab 4639 dmun 4913 coundi 5083 coundir 5084 |
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