Metamath Proof Explorer |
< Previous
Next >
Nearby theorems |
||
Mirrors > Home > MPE Home > Th. List > oranabs | Structured version Visualization version Unicode version |
Description: Absorb a disjunct into a conjunct. (Contributed by Roy F. Longton, 23-Jun-2005.) (Proof shortened by Wolf Lammen, 10-Nov-2013.) |
Ref | Expression |
---|---|
oranabs |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | biortn 421 | . . 3 | |
2 | orcom 402 | . . 3 | |
3 | 1, 2 | syl6rbb 277 | . 2 |
4 | 3 | pm5.32ri 670 | 1 |
Colors of variables: wff setvar class |
Syntax hints: wn 3 wb 196 wo 383 wa 384 |
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 197 df-or 385 df-an 386 |
This theorem is referenced by: itg2addnclem3 33463 |
Copyright terms: Public domain | W3C validator |