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Mirrors > Home > ILE Home > Th. List > Mathboxes > strcollnfALT | Unicode version |
Description: Alternate proof of strcollnf 9445, not using strcollnft 9444. (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 9443 |
. 2
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() | |
2 | nfv 1418 |
. . . . 5
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3 | nfcv 2175 |
. . . . . 6
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4 | strcollnf.nf |
. . . . . 6
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5 | 3, 4 | nfrexxy 2355 |
. . . . 5
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6 | 2, 5 | nfbi 1478 |
. . . 4
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7 | 6 | nfal 1465 |
. . 3
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
8 | nfv 1418 |
. . 3
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() | |
9 | elequ2 1598 |
. . . . 5
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10 | 9 | bibi1d 222 |
. . . 4
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11 | 10 | albidv 1702 |
. . 3
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12 | 7, 8, 11 | cbvex 1636 |
. 2
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13 | 1, 12 | sylib 127 |
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-7 1334 ax-gen 1335 ax-ie1 1379 ax-ie2 1380 ax-8 1392 ax-10 1393 ax-11 1394 ax-i12 1395 ax-bndl 1396 ax-4 1397 ax-14 1402 ax-17 1416 ax-i9 1420 ax-ial 1424 ax-i5r 1425 ax-ext 2019 ax-strcoll 9442 |
This theorem depends on definitions: df-bi 110 df-tru 1245 df-nf 1347 df-sb 1643 df-cleq 2030 df-clel 2033 df-nfc 2164 df-ral 2305 df-rex 2306 |
This theorem is referenced by: (None) |
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