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Mirrors > Home > ILE Home > Th. List > Mathboxes > strcollnfALT | Unicode version |
Description: Alternate proof of strcollnf 12153, not using strcollnft 12152. (Contributed by BJ, 5-Oct-2019.) (Proof modification is discouraged.) (New usage is discouraged.) |
Ref | Expression |
---|---|
strcollnf.nf |
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Ref | Expression |
---|---|
strcollnfALT |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | strcoll2 12151 |
. 2
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() | |
2 | nfv 1467 |
. . . . 5
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3 | nfcv 2229 |
. . . . . 6
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4 | strcollnf.nf |
. . . . . 6
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5 | 3, 4 | nfrexxy 2416 |
. . . . 5
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
6 | 2, 5 | nfbi 1527 |
. . . 4
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
7 | 6 | nfal 1514 |
. . 3
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
8 | nfv 1467 |
. . 3
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() | |
9 | elequ2 1649 |
. . . . 5
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10 | 9 | bibi1d 232 |
. . . 4
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11 | 10 | albidv 1753 |
. . 3
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12 | 7, 8, 11 | cbvex 1687 |
. 2
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13 | 1, 12 | sylib 121 |
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 105 ax-ia2 106 ax-ia3 107 ax-io 666 ax-5 1382 ax-7 1383 ax-gen 1384 ax-ie1 1428 ax-ie2 1429 ax-8 1441 ax-10 1442 ax-11 1443 ax-i12 1444 ax-bndl 1445 ax-4 1446 ax-14 1451 ax-17 1465 ax-i9 1469 ax-ial 1473 ax-i5r 1474 ax-ext 2071 ax-strcoll 12150 |
This theorem depends on definitions: df-bi 116 df-tru 1293 df-nf 1396 df-sb 1694 df-cleq 2082 df-clel 2085 df-nfc 2218 df-ral 2365 df-rex 2366 |
This theorem is referenced by: (None) |
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