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Mirrors > Home > ILE Home > Th. List > drnf1 | 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 |
---|---|
drnf1 |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | drex2.1 |
. . . 4
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2 | 1 | dral1 1707 |
. . . 4
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3 | 1, 2 | imbi12d 233 |
. . 3
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4 | 3 | dral1 1707 |
. 2
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5 | df-nf 1438 |
. 2
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6 | df-nf 1438 |
. 2
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7 | 4, 5, 6 | 3bitr4g 222 |
1
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Colors of variables: wff set class |
Syntax hints: ![]() ![]() ![]() ![]() |
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-io 699 ax-5 1424 ax-7 1425 ax-gen 1426 ax-ie2 1471 ax-8 1481 ax-10 1482 ax-11 1483 ax-i12 1484 ax-4 1487 ax-17 1503 ax-i9 1507 ax-ial 1511 |
This theorem depends on definitions: df-bi 116 df-nf 1438 |
This theorem is referenced by: drnfc1 2313 |
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