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Mirrors > Home > ILE Home > Th. List > nfimd | Unicode version |
Description: If in a context ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
Ref | Expression |
---|---|
nfimd.1 |
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nfimd.2 |
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Ref | Expression |
---|---|
nfimd |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | nfimd.1 |
. 2
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2 | nfimd.2 |
. 2
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3 | nfnf1 1555 |
. . . . 5
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4 | 3 | nfri 1530 |
. . . 4
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5 | nfnf1 1555 |
. . . . 5
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6 | 5 | nfri 1530 |
. . . 4
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7 | nfr 1529 |
. . . . . 6
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8 | 7 | imim2d 54 |
. . . . 5
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9 | 19.21t 1593 |
. . . . . 6
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10 | 9 | biimprd 158 |
. . . . 5
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11 | 8, 10 | syl9r 73 |
. . . 4
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12 | 4, 6, 11 | alrimdh 1490 |
. . 3
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13 | df-nf 1472 |
. . 3
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14 | 12, 13 | imbitrrdi 162 |
. 2
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15 | 1, 2, 14 | sylc 62 |
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-gen 1460 ax-4 1521 ax-ial 1545 ax-i5r 1546 |
This theorem depends on definitions: df-bi 117 df-nf 1472 |
This theorem is referenced by: nfbid 1599 dvelimALT 2022 dvelimfv 2023 dvelimor 2030 nfmod 2055 nfraldw 2522 nfraldxy 2523 nfixpxy 6743 cbvrald 14998 |
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