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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 |
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Ref | Expression |
---|---|
nfbii |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | nfbii.1 |
. . . 4
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2 | 1 | albii 1429 |
. . . 4
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3 | 1, 2 | imbi12i 238 |
. . 3
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4 | 3 | albii 1429 |
. 2
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5 | df-nf 1420 |
. 2
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6 | df-nf 1420 |
. 2
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7 | 4, 5, 6 | 3bitr4i 211 |
1
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Colors of variables: wff set class |
Syntax hints: ![]() ![]() ![]() ![]() |
This theorem was proved from axioms: ax-1 5 ax-2 6 ax-mp 7 ax-ia1 105 ax-ia2 106 ax-ia3 107 ax-5 1406 ax-gen 1408 |
This theorem depends on definitions: df-bi 116 df-nf 1420 |
This theorem is referenced by: nfxfr 1433 nfxfrd 1434 nfsb 1897 nfsbt 1925 hbsbd 1933 sbal1yz 1952 dvelimALT 1961 dvelimfv 1962 dvelimor 1969 nfeudv 1990 nfeuv 1993 nfceqi 2251 nfreudxy 2578 dfnfc2 3720 |
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