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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 1446 | . . . 4 |
3 | 1, 2 | imbi12i 238 | . . 3 |
4 | 3 | albii 1446 | . 2 |
5 | df-nf 1437 | . 2 | |
6 | df-nf 1437 | . 2 | |
7 | 4, 5, 6 | 3bitr4i 211 | 1 |
Colors of variables: wff set class |
Syntax hints: wi 4 wb 104 wal 1329 wnf 1436 |
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-5 1423 ax-gen 1425 |
This theorem depends on definitions: df-bi 116 df-nf 1437 |
This theorem is referenced by: nfxfr 1450 nfxfrd 1451 nfsb 1917 nfsbt 1947 hbsbd 1955 sbal1yz 1974 dvelimALT 1983 dvelimfv 1984 dvelimor 1991 nfeudv 2012 nfeuv 2015 nfceqi 2275 nfreudxy 2602 dfnfc2 3749 |
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