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Mirrors > Home > ILE Home > Th. List > nford | Unicode version |
Description: If in a context ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
Ref | Expression |
---|---|
nford.1 |
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nford.2 |
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Ref | Expression |
---|---|
nford |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | nford.1 |
. . . . 5
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2 | nford.2 |
. . . . 5
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3 | df-nf 1347 |
. . . . . . 7
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4 | df-nf 1347 |
. . . . . . 7
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5 | 3, 4 | anbi12i 433 |
. . . . . 6
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6 | 5 | biimpi 113 |
. . . . 5
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7 | 1, 2, 6 | syl2anc 391 |
. . . 4
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8 | 19.26 1367 |
. . . 4
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() | |
9 | 7, 8 | sylibr 137 |
. . 3
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10 | orc 632 |
. . . . . . 7
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11 | 10 | alimi 1341 |
. . . . . 6
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12 | 11 | imim2i 12 |
. . . . 5
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13 | olc 631 |
. . . . . . 7
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() | |
14 | 13 | alimi 1341 |
. . . . . 6
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15 | 14 | imim2i 12 |
. . . . 5
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
16 | 12, 15 | jaao 638 |
. . . 4
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17 | 16 | alimi 1341 |
. . 3
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18 | 9, 17 | syl 14 |
. 2
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
19 | df-nf 1347 |
. 2
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() | |
20 | 18, 19 | sylibr 137 |
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 99 ax-ia2 100 ax-ia3 101 ax-io 629 ax-5 1333 ax-gen 1335 |
This theorem depends on definitions: df-bi 110 df-nf 1347 |
This theorem is referenced by: nfifd 3349 |
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