Intuitionistic Logic Explorer |
< Previous
Next >
Nearby theorems |
||
Mirrors > Home > ILE Home > Th. List > nfopab2 | Unicode version |
Description: The second abstraction variable in an ordered-pair class abstraction (class builder) is effectively not free. (Contributed by NM, 16-May-1995.) (Revised by Mario Carneiro, 14-Oct-2016.) |
Ref | Expression |
---|---|
nfopab2 |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | df-opab 3819 | . 2 | |
2 | nfe1 1385 | . . . 4 | |
3 | 2 | nfex 1528 | . . 3 |
4 | 3 | nfab 2182 | . 2 |
5 | 1, 4 | nfcxfr 2175 | 1 |
Colors of variables: wff set class |
Syntax hints: wa 97 wceq 1243 wex 1381 cab 2026 wnfc 2165 cop 3378 copab 3817 |
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-nf 1350 df-sb 1646 df-clab 2027 df-cleq 2033 df-clel 2036 df-nfc 2167 df-opab 3819 |
This theorem is referenced by: opelopabsb 3997 ssopab2b 4013 dmopab 4546 rnopab 4581 funopab 4935 0neqopab 5550 |
Copyright terms: Public domain | W3C validator |