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Mirrors > Home > MPE Home > Th. List > jaoian | Unicode version |
Description: Inference disjoining the antecedents of two implications. (Contributed by NM, 23-Oct-2005.) |
Ref | Expression |
---|---|
jaoian.1 | |
jaoian.2 |
Ref | Expression |
---|---|
jaoian |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | jaoian.1 | . . . 4 | |
2 | 1 | ex 434 | . . 3 |
3 | jaoian.2 | . . . 4 | |
4 | 3 | ex 434 | . . 3 |
5 | 2, 4 | jaoi 379 | . 2 |
6 | 5 | imp 429 | 1 |
Colors of variables: wff setvar class |
Syntax hints: -> wi 4 \/ wo 368
/\ wa 369 |
This theorem is referenced by: ccase 946 xaddnemnf 11462 xaddnepnf 11463 faclbnd 12368 faclbnd3 12370 faclbnd4lem1 12371 znf1o 18590 degltlem1 22472 ipasslem3 25748 xrge0iifhom 27919 fzsplit1nn0 30687 tpres 32554 |
This theorem was proved from axioms: ax-mp 5 ax-1 6 ax-2 7 ax-3 8 |
This theorem depends on definitions: df-bi 185 df-or 370 df-an 371 |
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