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Mirrors > Home > NFE Home > Th. List > nfald2 | Unicode version |
Description: Variation on nfald 1852 which adds the hypothesis that and are distinct in the inner subproof. (Contributed by Mario Carneiro, 8-Oct-2016.) |
Ref | Expression |
---|---|
nfald2.1 | |
nfald2.2 |
Ref | Expression |
---|---|
nfald2 |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | nfald2.1 | . . . . 5 | |
2 | nfnae 1956 | . . . . 5 | |
3 | 1, 2 | nfan 1824 | . . . 4 |
4 | nfald2.2 | . . . 4 | |
5 | 3, 4 | nfald 1852 | . . 3 |
6 | 5 | ex 423 | . 2 |
7 | nfa1 1788 | . . 3 | |
8 | biidd 228 | . . . 4 | |
9 | 8 | drnf1 1969 | . . 3 |
10 | 7, 9 | mpbiri 224 | . 2 |
11 | 6, 10 | pm2.61d2 152 | 1 |
Colors of variables: wff setvar class |
Syntax hints: wn 3 wi 4 wa 358 wal 1540 wnf 1544 |
This theorem was proved from axioms: ax-mp 5 ax-1 6 ax-2 7 ax-3 8 ax-gen 1546 ax-5 1557 ax-17 1616 ax-9 1654 ax-8 1675 ax-6 1729 ax-7 1734 ax-11 1746 ax-12 1925 |
This theorem depends on definitions: df-bi 177 df-an 360 df-tru 1319 df-ex 1542 df-nf 1545 |
This theorem is referenced by: nfexd2 1973 dvelimf 1997 nfeud2 2216 nfrald 2665 nfiotad 4342 |
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