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Mirrors > Home > ILE Home > Th. List > Mathboxes > bj-findisg | Unicode version |
Description: Version of bj-findis 13177 using a class term in the consequent. Constructive proof (from CZF). See the comment of bj-findis 13177 for explanations. (Contributed by BJ, 21-Nov-2019.) (Proof modification is discouraged.) |
Ref | Expression |
---|---|
bj-findis.nf0 | |
bj-findis.nf1 | |
bj-findis.nfsuc | |
bj-findis.0 | |
bj-findis.1 | |
bj-findis.suc | |
bj-findisg.nfa | |
bj-findisg.nfterm | |
bj-findisg.term |
Ref | Expression |
---|---|
bj-findisg |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | bj-findis.nf0 | . . 3 | |
2 | bj-findis.nf1 | . . 3 | |
3 | bj-findis.nfsuc | . . 3 | |
4 | bj-findis.0 | . . 3 | |
5 | bj-findis.1 | . . 3 | |
6 | bj-findis.suc | . . 3 | |
7 | 1, 2, 3, 4, 5, 6 | bj-findis 13177 | . 2 |
8 | bj-findisg.nfa | . . 3 | |
9 | nfcv 2281 | . . 3 | |
10 | bj-findisg.nfterm | . . 3 | |
11 | bj-findisg.term | . . 3 | |
12 | 8, 9, 10, 11 | bj-rspg 12994 | . 2 |
13 | 7, 12 | syl 14 | 1 |
Colors of variables: wff set class |
Syntax hints: wi 4 wa 103 wceq 1331 wnf 1436 wcel 1480 wnfc 2268 wral 2416 c0 3363 csuc 4287 com 4504 |
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-in1 603 ax-in2 604 ax-io 698 ax-5 1423 ax-7 1424 ax-gen 1425 ax-ie1 1469 ax-ie2 1470 ax-8 1482 ax-10 1483 ax-11 1484 ax-i12 1485 ax-bndl 1486 ax-4 1487 ax-13 1491 ax-14 1492 ax-17 1506 ax-i9 1510 ax-ial 1514 ax-i5r 1515 ax-ext 2121 ax-nul 4054 ax-pr 4131 ax-un 4355 ax-setind 4452 ax-bd0 13011 ax-bdim 13012 ax-bdan 13013 ax-bdor 13014 ax-bdn 13015 ax-bdal 13016 ax-bdex 13017 ax-bdeq 13018 ax-bdel 13019 ax-bdsb 13020 ax-bdsep 13082 ax-infvn 13139 |
This theorem depends on definitions: df-bi 116 df-tru 1334 df-fal 1337 df-nf 1437 df-sb 1736 df-clab 2126 df-cleq 2132 df-clel 2135 df-nfc 2270 df-ral 2421 df-rex 2422 df-rab 2425 df-v 2688 df-dif 3073 df-un 3075 df-in 3077 df-ss 3084 df-nul 3364 df-sn 3533 df-pr 3534 df-uni 3737 df-int 3772 df-suc 4293 df-iom 4505 df-bdc 13039 df-bj-ind 13125 |
This theorem is referenced by: (None) |
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