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Mirrors > Home > ILE Home > Th. List > Mathboxes > bj-findisg | Unicode version |
Description: Version of bj-findis 10104 using a class term in the consequent. Constructive proof (from CZF). See the comment of bj-findis 10104 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 10104 | . 2 |
8 | bj-findisg.nfa | . . 3 | |
9 | nfcv 2178 | . . 3 | |
10 | bj-findisg.nfterm | . . 3 | |
11 | bj-findisg.term | . . 3 | |
12 | 8, 9, 10, 11 | bj-rspg 9926 | . 2 |
13 | 7, 12 | syl 14 | 1 |
Colors of variables: wff set class |
Syntax hints: wi 4 wa 97 wceq 1243 wnf 1349 wcel 1393 wnfc 2165 wral 2306 c0 3224 csuc 4102 com 4313 |
This theorem was proved from axioms: ax-1 5 ax-2 6 ax-mp 7 ax-ia1 99 ax-ia2 100 ax-ia3 101 ax-in1 544 ax-in2 545 ax-io 630 ax-5 1336 ax-7 1337 ax-gen 1338 ax-ie1 1382 ax-ie2 1383 ax-8 1395 ax-10 1396 ax-11 1397 ax-i12 1398 ax-bndl 1399 ax-4 1400 ax-13 1404 ax-14 1405 ax-17 1419 ax-i9 1423 ax-ial 1427 ax-i5r 1428 ax-ext 2022 ax-nul 3883 ax-pr 3944 ax-un 4170 ax-setind 4262 ax-bd0 9933 ax-bdim 9934 ax-bdan 9935 ax-bdor 9936 ax-bdn 9937 ax-bdal 9938 ax-bdex 9939 ax-bdeq 9940 ax-bdel 9941 ax-bdsb 9942 ax-bdsep 10004 ax-infvn 10066 |
This theorem depends on definitions: df-bi 110 df-tru 1246 df-fal 1249 df-nf 1350 df-sb 1646 df-clab 2027 df-cleq 2033 df-clel 2036 df-nfc 2167 df-ral 2311 df-rex 2312 df-rab 2315 df-v 2559 df-dif 2920 df-un 2922 df-in 2924 df-ss 2931 df-nul 3225 df-sn 3381 df-pr 3382 df-uni 3581 df-int 3616 df-suc 4108 df-iom 4314 df-bdc 9961 df-bj-ind 10051 |
This theorem is referenced by: (None) |
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