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Mirrors > Home > ILE Home > Th. List > nfald | Unicode version |
Description: If ![]() ![]() ![]() ![]() ![]() |
Ref | Expression |
---|---|
nfald.1 |
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nfald.2 |
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Ref | Expression |
---|---|
nfald |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | nfald.1 |
. . . 4
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2 | 1 | nfri 1530 |
. . 3
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3 | nfald.2 |
. . 3
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4 | 2, 3 | alrimih 1480 |
. 2
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5 | nfnf1 1555 |
. . . 4
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6 | 5 | nfal 1587 |
. . 3
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7 | hba1 1551 |
. . . 4
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8 | sp 1522 |
. . . . 5
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9 | 8 | nfrd 1531 |
. . . 4
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10 | 7, 9 | hbald 1502 |
. . 3
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11 | 6, 10 | nfd 1534 |
. 2
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12 | 4, 11 | syl 14 |
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-5 1458 ax-7 1459 ax-gen 1460 ax-4 1521 ax-ial 1545 |
This theorem depends on definitions: df-bi 117 df-nf 1472 |
This theorem is referenced by: dvelimALT 2022 dvelimfv 2023 nfeudv 2053 nfeqd 2347 nfraldw 2522 nfraldxy 2523 nfiotadw 5199 nfixpxy 6744 bdsepnft 15117 |
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