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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 | |
spcv.2 |
Ref | Expression |
---|---|
spcv |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | spcv.1 | . 2 | |
2 | spcv.2 | . . 3 | |
3 | 2 | spcgv 2747 | . 2 |
4 | 1, 3 | ax-mp 5 | 1 |
Colors of variables: wff set class |
Syntax hints: wi 4 wb 104 wal 1314 wceq 1316 wcel 1465 cvv 2660 |
This theorem was proved from axioms: ax-mp 5 ax-1 6 ax-2 7 ax-ia1 105 ax-ia2 106 ax-ia3 107 ax-io 683 ax-5 1408 ax-7 1409 ax-gen 1410 ax-ie1 1454 ax-ie2 1455 ax-8 1467 ax-10 1468 ax-11 1469 ax-i12 1470 ax-bndl 1471 ax-4 1472 ax-17 1491 ax-i9 1495 ax-ial 1499 ax-i5r 1500 ax-ext 2099 |
This theorem depends on definitions: df-bi 116 df-tru 1319 df-nf 1422 df-sb 1721 df-clab 2104 df-cleq 2110 df-clel 2113 df-nfc 2247 df-v 2662 |
This theorem is referenced by: morex 2841 exmidexmid 4090 exmidsssn 4095 exmidel 4098 rext 4107 ontr2exmid 4410 regexmidlem1 4418 reg2exmid 4421 relop 4659 disjxp1 6101 rdgtfr 6239 ssfiexmid 6738 domfiexmid 6740 diffitest 6749 findcard 6750 fiintim 6785 fisseneq 6788 finomni 6980 exmidomni 6982 exmidlpo 6983 exmidunben 11866 bj-d0clsepcl 13050 bj-inf2vnlem1 13095 subctctexmid 13123 |
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