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Mirrors > Home > NFE Home > Th. List > elint | Unicode version |
Description: Membership in class intersection. (Contributed by NM, 21-May-1994.) |
Ref | Expression |
---|---|
elint.1 |
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Ref | Expression |
---|---|
elint |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | elint.1 |
. 2
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2 | eleq1 2413 |
. . . 4
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3 | 2 | imbi2d 307 |
. . 3
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4 | 3 | albidv 1625 |
. 2
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5 | df-int 3927 |
. 2
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6 | 1, 4, 5 | elab2 2988 |
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 ax-17 1616 ax-9 1654 ax-8 1675 ax-6 1729 ax-7 1734 ax-11 1746 ax-12 1925 ax-ext 2334 |
This theorem depends on definitions: df-bi 177 df-or 359 df-an 360 df-tru 1319 df-ex 1542 df-nf 1545 df-sb 1649 df-clab 2340 df-cleq 2346 df-clel 2349 df-nfc 2478 df-v 2861 df-int 3927 |
This theorem is referenced by: elint2 3933 elintab 3937 intss1 3941 intss 3947 intun 3958 intpr 3959 |
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