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Mirrors > Home > ILE Home > Th. List > nfcsb | Unicode version |
Description: Bound-variable hypothesis builder for substitution into a class. (Contributed by Mario Carneiro, 12-Oct-2016.) |
Ref | Expression |
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nfcsb.1 |
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nfcsb.2 |
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Ref | Expression |
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nfcsb |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | nftru 1352 |
. . 3
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2 | nfcsb.1 |
. . . 4
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3 | 2 | a1i 9 |
. . 3
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4 | nfcsb.2 |
. . . 4
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5 | 4 | a1i 9 |
. . 3
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6 | 1, 3, 5 | nfcsbd 2877 |
. 2
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7 | 6 | trud 1251 |
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-17 1416 ax-i9 1420 ax-ial 1424 ax-i5r 1425 ax-ext 2019 |
This theorem depends on definitions: df-bi 110 df-tru 1245 df-nf 1347 df-sb 1643 df-clab 2024 df-cleq 2030 df-clel 2033 df-nfc 2164 df-sbc 2759 df-csb 2847 |
This theorem is referenced by: cbvralcsf 2902 cbvrexcsf 2903 cbvreucsf 2904 cbvrabcsf 2905 fmptcof 5274 mpt2mptsx 5765 dmmpt2ssx 5767 fmpt2x 5768 fmpt2co 5779 dfmpt2 5786 |
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