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Mirrors > Home > ILE Home > Th. List > isfi | Unicode version |
Description: Express "![]() ![]() |
Ref | Expression |
---|---|
isfi |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | df-fin 6390 |
. . 3
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2 | 1 | eleq2i 2149 |
. 2
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3 | relen 6391 |
. . . . 5
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4 | 3 | brrelexi 4440 |
. . . 4
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5 | 4 | rexlimivw 2479 |
. . 3
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6 | breq1 3814 |
. . . 4
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7 | 6 | rexbidv 2375 |
. . 3
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8 | 5, 7 | elab3 2755 |
. 2
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9 | 2, 8 | bitri 182 |
1
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Colors of variables: wff set class |
Syntax hints: ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
This theorem was proved from axioms: ax-1 5 ax-2 6 ax-mp 7 ax-ia1 104 ax-ia2 105 ax-ia3 106 ax-io 663 ax-5 1377 ax-7 1378 ax-gen 1379 ax-ie1 1423 ax-ie2 1424 ax-8 1436 ax-10 1437 ax-11 1438 ax-i12 1439 ax-bndl 1440 ax-4 1441 ax-14 1446 ax-17 1460 ax-i9 1464 ax-ial 1468 ax-i5r 1469 ax-ext 2065 ax-sep 3922 ax-pow 3974 ax-pr 4000 |
This theorem depends on definitions: df-bi 115 df-3an 922 df-tru 1288 df-nf 1391 df-sb 1688 df-clab 2070 df-cleq 2076 df-clel 2079 df-nfc 2212 df-ral 2358 df-rex 2359 df-v 2614 df-un 2988 df-in 2990 df-ss 2997 df-pw 3408 df-sn 3428 df-pr 3429 df-op 3431 df-br 3812 df-opab 3866 df-xp 4407 df-rel 4408 df-en 6388 df-fin 6390 |
This theorem is referenced by: snfig 6461 fict 6514 fidceq 6515 nnfi 6518 enfi 6519 ssfilem 6521 dif1enen 6526 php5fin 6528 fisbth 6529 fin0 6531 fin0or 6532 diffitest 6533 findcard 6534 findcard2 6535 findcard2s 6536 diffisn 6539 infnfi 6541 fientri3 6552 unsnfi 6556 unsnfidcex 6557 unsnfidcel 6558 finnum 6714 hashcl 10024 hashen 10027 fihashdom 10046 hashun 10048 |
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