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Mirrors > Home > ILE Home > Th. List > spcv | Unicode version |
Description: Rule of specialization, using implicit substitution. (Contributed by NM, 22-Jun-1994.) |
Ref | Expression |
---|---|
spcv.1 |
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spcv.2 |
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Ref | Expression |
---|---|
spcv |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | spcv.1 |
. 2
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2 | spcv.2 |
. . 3
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3 | 2 | spcgv 2742 |
. 2
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4 | 1, 3 | ax-mp 7 |
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 681 ax-5 1404 ax-7 1405 ax-gen 1406 ax-ie1 1450 ax-ie2 1451 ax-8 1463 ax-10 1464 ax-11 1465 ax-i12 1466 ax-bndl 1467 ax-4 1468 ax-17 1487 ax-i9 1491 ax-ial 1495 ax-i5r 1496 ax-ext 2095 |
This theorem depends on definitions: df-bi 116 df-tru 1315 df-nf 1418 df-sb 1717 df-clab 2100 df-cleq 2106 df-clel 2109 df-nfc 2242 df-v 2657 |
This theorem is referenced by: morex 2835 exmidexmid 4078 exmidsssn 4083 exmidel 4086 rext 4095 ontr2exmid 4398 regexmidlem1 4406 reg2exmid 4409 relop 4647 disjxp1 6085 rdgtfr 6223 ssfiexmid 6721 domfiexmid 6723 diffitest 6732 findcard 6733 fiintim 6768 fisseneq 6771 finomni 6960 exmidomni 6962 exmidlpo 6963 exmidunben 11778 bj-d0clsepcl 12806 bj-inf2vnlem1 12851 |
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