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Mirrors > Home > ILE Home > Th. List > drnf2 | Unicode version |
Description: Formula-building lemma for use with the Distinctor Reduction Theorem. (Contributed by Mario Carneiro, 4-Oct-2016.) |
Ref | Expression |
---|---|
drex2.1 |
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Ref | Expression |
---|---|
drnf2 |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | drex2.1 |
. . . 4
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2 | 1 | dral2 1619 |
. . . 4
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3 | 1, 2 | imbi12d 223 |
. . 3
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4 | 3 | dral2 1619 |
. 2
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5 | df-nf 1350 |
. 2
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6 | df-nf 1350 |
. 2
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7 | 4, 5, 6 | 3bitr4g 212 |
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 99 ax-ia2 100 ax-ia3 101 ax-io 630 ax-5 1336 ax-7 1337 ax-gen 1338 ax-ie2 1383 ax-8 1395 ax-10 1396 ax-11 1397 ax-i12 1398 ax-4 1400 ax-17 1419 ax-i9 1423 ax-ial 1427 |
This theorem depends on definitions: df-bi 110 df-nf 1350 |
This theorem is referenced by: nfsbxy 1818 nfsbxyt 1819 drnfc2 2195 |
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