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Mirrors > Home > ILE Home > Th. List > nfand | Unicode version |
Description: If in a context ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
Ref | Expression |
---|---|
nfand.1 |
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nfand.2 |
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Ref | Expression |
---|---|
nfand |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | nfand.1 |
. . . 4
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2 | nfand.2 |
. . . 4
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3 | 1, 2 | jca 304 |
. . 3
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4 | df-nf 1438 |
. . . . . 6
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5 | df-nf 1438 |
. . . . . 6
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6 | 4, 5 | anbi12i 456 |
. . . . 5
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7 | 19.26 1458 |
. . . . 5
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8 | 6, 7 | bitr4i 186 |
. . . 4
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9 | anim12 342 |
. . . . . 6
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10 | 19.26 1458 |
. . . . . 6
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11 | 9, 10 | syl6ibr 161 |
. . . . 5
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12 | 11 | alimi 1432 |
. . . 4
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13 | 8, 12 | sylbi 120 |
. . 3
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14 | 3, 13 | syl 14 |
. 2
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15 | df-nf 1438 |
. 2
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16 | 14, 15 | sylibr 133 |
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 105 ax-ia2 106 ax-ia3 107 ax-5 1424 ax-gen 1426 |
This theorem depends on definitions: df-bi 116 df-nf 1438 |
This theorem is referenced by: nf3and 1549 nfbid 1568 nfsbxy 1916 nfsbxyt 1917 nfeld 2298 nfrexdxy 2471 nfreudxy 2607 nfifd 3504 nfriotadxy 5746 bdsepnft 13256 strcollnft 13353 |
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