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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 2839 |
. 2
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4 | 1, 3 | ax-mp 5 |
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 710 ax-5 1458 ax-7 1459 ax-gen 1460 ax-ie1 1504 ax-ie2 1505 ax-8 1515 ax-10 1516 ax-11 1517 ax-i12 1518 ax-bndl 1520 ax-4 1521 ax-17 1537 ax-i9 1541 ax-ial 1545 ax-i5r 1546 ax-ext 2171 |
This theorem depends on definitions: df-bi 117 df-tru 1367 df-nf 1472 df-sb 1774 df-clab 2176 df-cleq 2182 df-clel 2185 df-nfc 2321 df-v 2754 |
This theorem is referenced by: morex 2936 exmidexmid 4214 exmidsssn 4220 exmidel 4223 rext 4233 ontr2exmid 4542 regexmidlem1 4550 reg2exmid 4553 relop 4795 disjxp1 6262 rdgtfr 6400 ssfiexmid 6905 domfiexmid 6907 diffitest 6916 findcard 6917 exmidpw2en 6941 fiintim 6958 fisseneq 6961 finomni 7169 exmidomni 7171 exmidlpo 7172 exmidunben 12480 bj-d0clsepcl 15155 bj-inf2vnlem1 15200 subctctexmid 15229 |
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