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Mirrors > Home > MPE Home > Th. List > iscusp2 | Structured version Visualization version Unicode version |
Description: The predicate "![]() |
Ref | Expression |
---|---|
iscusp2.1 |
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iscusp2.2 |
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iscusp2.3 |
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Ref | Expression |
---|---|
iscusp2 |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | iscusp 21363 |
. 2
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2 | iscusp2.1 |
. . . . 5
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3 | 2 | fveq2i 5891 |
. . . 4
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4 | iscusp2.2 |
. . . . . . 7
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5 | 4 | fveq2i 5891 |
. . . . . 6
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6 | 5 | eleq2i 2532 |
. . . . 5
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7 | iscusp2.3 |
. . . . . . 7
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8 | 7 | oveq1i 6325 |
. . . . . 6
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9 | 8 | neeq1i 2700 |
. . . . 5
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10 | 6, 9 | imbi12i 332 |
. . . 4
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11 | 3, 10 | raleqbii 2845 |
. . 3
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12 | 11 | anbi2i 705 |
. 2
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13 | 1, 12 | bitr4i 260 |
1
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Colors of variables: wff setvar class |
Syntax hints: ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
This theorem was proved from axioms: ax-mp 5 ax-1 6 ax-2 7 ax-3 8 ax-gen 1680 ax-4 1693 ax-5 1769 ax-6 1816 ax-7 1862 ax-10 1926 ax-11 1931 ax-12 1944 ax-13 2102 ax-ext 2442 |
This theorem depends on definitions: df-bi 190 df-or 376 df-an 377 df-3an 993 df-tru 1458 df-ex 1675 df-nf 1679 df-sb 1809 df-clab 2449 df-cleq 2455 df-clel 2458 df-nfc 2592 df-ne 2635 df-ral 2754 df-rex 2755 df-rab 2758 df-v 3059 df-dif 3419 df-un 3421 df-in 3423 df-ss 3430 df-nul 3744 df-if 3894 df-sn 3981 df-pr 3983 df-op 3987 df-uni 4213 df-br 4417 df-iota 5565 df-fv 5609 df-ov 6318 df-cusp 21362 |
This theorem is referenced by: cmetcusp1 22369 |
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