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| Mirrors > Home > NFE Home > Th. List > orrd | Unicode version | ||
| Description: Deduce implication from disjunction. (Contributed by NM, 27-Nov-1995.) |
| Ref | Expression |
|---|---|
| orrd.1 |
|
| Ref | Expression |
|---|---|
| orrd |
|
| Step | Hyp | Ref | Expression |
|---|---|---|---|
| 1 | orrd.1 |
. 2
| |
| 2 | pm2.54 363 |
. 2
| |
| 3 | 1, 2 | syl 15 |
1
|
| Colors of variables: wff setvar class |
| Syntax hints: |
| This theorem was proved from axioms: ax-1 5 ax-2 6 ax-3 7 ax-mp 8 |
| This theorem depends on definitions: df-bi 177 df-or 359 |
| This theorem is referenced by: olc 373 orc 374 pm2.68 399 pm4.79 566 sspss 3368 pwpw0 3855 sssn 3864 pwsnALT 3882 unissint 3950 pwadjoin 4119 nndisjeq 4429 xpexr 5109 fvclss 5462 erdisj 5972 |
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