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Mirrors > Home > ILE Home > Th. List > nfbii | Unicode version |
Description: Equality theorem for not-free. (Contributed by Mario Carneiro, 11-Aug-2016.) |
Ref | Expression |
---|---|
nfbii.1 |
Ref | Expression |
---|---|
nfbii |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | nfbii.1 | . . . 4 | |
2 | 1 | albii 1399 | . . . 4 |
3 | 1, 2 | imbi12i 237 | . . 3 |
4 | 3 | albii 1399 | . 2 |
5 | df-nf 1390 | . 2 | |
6 | df-nf 1390 | . 2 | |
7 | 4, 5, 6 | 3bitr4i 210 | 1 |
Colors of variables: wff set class |
Syntax hints: wi 4 wb 103 wal 1282 wnf 1389 |
This theorem was proved from axioms: ax-1 5 ax-2 6 ax-mp 7 ax-ia1 104 ax-ia2 105 ax-ia3 106 ax-5 1376 ax-gen 1378 |
This theorem depends on definitions: df-bi 115 df-nf 1390 |
This theorem is referenced by: nfxfr 1403 nfxfrd 1404 nfsb 1863 nfsbt 1891 hbsbd 1899 sbal1yz 1918 dvelimALT 1927 dvelimfv 1928 dvelimor 1935 nfeudv 1956 nfeuv 1959 nfceqi 2215 nfreudxy 2527 dfnfc2 3619 |
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