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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 |
Ref | Expression |
---|---|
drnf1 |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | drex2.1 | . . . 4 | |
2 | 1 | dral1 1717 | . . . 4 |
3 | 1, 2 | imbi12d 233 | . . 3 |
4 | 3 | dral1 1717 | . 2 |
5 | df-nf 1448 | . 2 | |
6 | df-nf 1448 | . 2 | |
7 | 4, 5, 6 | 3bitr4g 222 | 1 |
Colors of variables: wff set class |
Syntax hints: wi 4 wb 104 wal 1340 wnf 1447 |
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 1434 ax-7 1435 ax-gen 1436 ax-ie2 1481 ax-8 1491 ax-10 1492 ax-11 1493 ax-i12 1494 ax-4 1497 ax-17 1513 ax-i9 1517 ax-ial 1521 |
This theorem depends on definitions: df-bi 116 df-nf 1448 |
This theorem is referenced by: drnfc1 2323 |
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