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Mirrors > Home > MPE Home > Th. List > nfiso | Structured version Visualization version Unicode version |
Description: Bound-variable hypothesis builder for an isomorphism. (Contributed by NM, 17-May-2004.) (Proof shortened by Andrew Salmon, 22-Oct-2011.) |
Ref | Expression |
---|---|
nfiso.1 |
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nfiso.2 |
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nfiso.3 |
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nfiso.4 |
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nfiso.5 |
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Ref | Expression |
---|---|
nfiso |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | df-isom 5594 |
. 2
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2 | nfiso.1 |
. . . 4
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3 | nfiso.4 |
. . . 4
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4 | nfiso.5 |
. . . 4
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5 | 2, 3, 4 | nff1o 5817 |
. . 3
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
6 | nfcv 2594 |
. . . . . . 7
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7 | nfiso.2 |
. . . . . . 7
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8 | nfcv 2594 |
. . . . . . 7
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9 | 6, 7, 8 | nfbr 4450 |
. . . . . 6
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10 | 2, 6 | nffv 5877 |
. . . . . . 7
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11 | nfiso.3 |
. . . . . . 7
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12 | 2, 8 | nffv 5877 |
. . . . . . 7
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13 | 10, 11, 12 | nfbr 4450 |
. . . . . 6
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14 | 9, 13 | nfbi 2019 |
. . . . 5
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15 | 3, 14 | nfral 2776 |
. . . 4
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
16 | 3, 15 | nfral 2776 |
. . 3
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
17 | 5, 16 | nfan 2013 |
. 2
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18 | 1, 17 | nfxfr 1698 |
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 1671 ax-4 1684 ax-5 1760 ax-6 1807 ax-7 1853 ax-10 1917 ax-11 1922 ax-12 1935 ax-13 2093 ax-ext 2433 |
This theorem depends on definitions: df-bi 189 df-or 372 df-an 373 df-3an 988 df-tru 1449 df-ex 1666 df-nf 1670 df-sb 1800 df-clab 2440 df-cleq 2446 df-clel 2449 df-nfc 2583 df-ral 2744 df-rex 2745 df-rab 2748 df-v 3049 df-dif 3409 df-un 3411 df-in 3413 df-ss 3420 df-nul 3734 df-if 3884 df-sn 3971 df-pr 3973 df-op 3977 df-uni 4202 df-br 4406 df-opab 4465 df-rel 4844 df-cnv 4845 df-co 4846 df-dm 4847 df-rn 4848 df-iota 5549 df-fun 5587 df-fn 5588 df-f 5589 df-f1 5590 df-fo 5591 df-f1o 5592 df-fv 5593 df-isom 5594 |
This theorem is referenced by: (None) |
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