Intuitionistic Logic Explorer |
< Previous
Next >
Nearby theorems |
||
Mirrors > Home > ILE Home > Th. List > csbie2t | Unicode version |
Description: Conversion of implicit substitution to explicit substitution into a class (closed form of csbie2 2895). (Contributed by NM, 3-Sep-2007.) (Revised by Mario Carneiro, 13-Oct-2016.) |
Ref | Expression |
---|---|
csbie2t.1 | |
csbie2t.2 |
Ref | Expression |
---|---|
csbie2t |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | nfa1 1434 | . 2 | |
2 | nfcvd 2179 | . 2 | |
3 | csbie2t.1 | . . 3 | |
4 | 3 | a1i 9 | . 2 |
5 | nfa2 1471 | . . . 4 | |
6 | nfv 1421 | . . . 4 | |
7 | 5, 6 | nfan 1457 | . . 3 |
8 | nfcvd 2179 | . . 3 | |
9 | csbie2t.2 | . . . 4 | |
10 | 9 | a1i 9 | . . 3 |
11 | sp 1401 | . . . . 5 | |
12 | 11 | sps 1430 | . . . 4 |
13 | 12 | impl 362 | . . 3 |
14 | 7, 8, 10, 13 | csbiedf 2887 | . 2 |
15 | 1, 2, 4, 14 | csbiedf 2887 | 1 |
Colors of variables: wff set class |
Syntax hints: wi 4 wa 97 wal 1241 wceq 1243 wcel 1393 cvv 2557 csb 2852 |
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-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-17 1419 ax-i9 1423 ax-ial 1427 ax-i5r 1428 ax-ext 2022 |
This theorem depends on definitions: df-bi 110 df-3an 887 df-tru 1246 df-nf 1350 df-sb 1646 df-clab 2027 df-cleq 2033 df-clel 2036 df-nfc 2167 df-v 2559 df-sbc 2765 df-csb 2853 |
This theorem is referenced by: csbie2 2895 |
Copyright terms: Public domain | W3C validator |