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Mirrors > Home > ILE Home > Th. List > spcimgft | Unicode version |
Description: A closed version of spcimgf 2832. (Contributed by Mario Carneiro, 4-Jan-2017.) |
Ref | Expression |
---|---|
spcimgft.1 |
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spcimgft.2 |
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Ref | Expression |
---|---|
spcimgft |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | elex 2763 |
. 2
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2 | spcimgft.2 |
. . . . 5
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3 | 2 | issetf 2759 |
. . . 4
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4 | exim 1610 |
. . . 4
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5 | 3, 4 | biimtrid 152 |
. . 3
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6 | spcimgft.1 |
. . . 4
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7 | 6 | 19.36-1 1684 |
. . 3
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8 | 5, 7 | syl6 33 |
. 2
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9 | 1, 8 | syl5 32 |
1
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Colors of variables: wff set class |
Syntax hints: ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
This theorem was proved from axioms: ax-mp 5 ax-1 6 ax-2 7 ax-ia1 106 ax-ia2 107 ax-ia3 108 ax-io 710 ax-5 1458 ax-7 1459 ax-gen 1460 ax-ie1 1504 ax-ie2 1505 ax-8 1515 ax-10 1516 ax-11 1517 ax-i12 1518 ax-bndl 1520 ax-4 1521 ax-17 1537 ax-i9 1541 ax-ial 1545 ax-i5r 1546 ax-ext 2171 |
This theorem depends on definitions: df-bi 117 df-tru 1367 df-nf 1472 df-sb 1774 df-clab 2176 df-cleq 2182 df-clel 2185 df-nfc 2321 df-v 2754 |
This theorem is referenced by: spcgft 2829 spcimgf 2832 spcimdv 2836 |
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