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Mirrors > Home > ILE Home > Th. List > csbie2t | Unicode version |
Description: Conversion of implicit substitution to explicit substitution into a class (closed form of csbie2 3106). (Contributed by NM, 3-Sep-2007.) (Revised by Mario Carneiro, 13-Oct-2016.) |
Ref | Expression |
---|---|
csbie2t.1 |
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csbie2t.2 |
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Ref | Expression |
---|---|
csbie2t |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | nfa1 1541 |
. 2
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2 | nfcvd 2320 |
. 2
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3 | csbie2t.1 |
. . 3
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4 | 3 | a1i 9 |
. 2
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5 | nfa2 1579 |
. . . 4
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6 | nfv 1528 |
. . . 4
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7 | 5, 6 | nfan 1565 |
. . 3
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8 | nfcvd 2320 |
. . 3
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9 | csbie2t.2 |
. . . 4
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10 | 9 | a1i 9 |
. . 3
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11 | sp 1511 |
. . . . 5
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12 | 11 | sps 1537 |
. . . 4
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13 | 12 | impl 380 |
. . 3
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14 | 7, 8, 10, 13 | csbiedf 3097 |
. 2
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15 | 1, 2, 4, 14 | csbiedf 3097 |
1
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Colors of variables: wff set class |
Syntax hints: ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
This theorem was proved from axioms: ax-mp 5 ax-1 6 ax-2 7 ax-ia1 106 ax-ia2 107 ax-ia3 108 ax-io 709 ax-5 1447 ax-7 1448 ax-gen 1449 ax-ie1 1493 ax-ie2 1494 ax-8 1504 ax-10 1505 ax-11 1506 ax-i12 1507 ax-bndl 1509 ax-4 1510 ax-17 1526 ax-i9 1530 ax-ial 1534 ax-i5r 1535 ax-ext 2159 |
This theorem depends on definitions: df-bi 117 df-3an 980 df-tru 1356 df-nf 1461 df-sb 1763 df-clab 2164 df-cleq 2170 df-clel 2173 df-nfc 2308 df-v 2739 df-sbc 2963 df-csb 3058 |
This theorem is referenced by: csbie2 3106 |
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