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Mirrors > Home > NFE Home > Th. List > imor | Unicode version |
Description: Implication in terms of disjunction. Theorem *4.6 of [WhiteheadRussell] p. 120. (Contributed by NM, 5-Aug-1993.) |
Ref | Expression |
---|---|
imor |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | notnot 282 | . . 3 | |
2 | 1 | imbi1i 315 | . 2 |
3 | df-or 359 | . 2 | |
4 | 2, 3 | bitr4i 243 | 1 |
Colors of variables: wff setvar class |
Syntax hints: wn 3 wi 4 wb 176 wo 357 |
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: imori 402 imorri 403 pm4.62 408 pm4.52 477 pm4.78 565 rb-bijust 1514 rb-imdf 1515 rb-ax1 1517 nf4 1868 r19.30 2756 dfimak2 4298 nncaddccl 4419 nndisjeq 4429 preaddccan2lem1 4454 ltfintrilem1 4465 evenoddnnnul 4514 leconnnc 6218 addccan2nclem2 6263 nchoicelem16 6302 |
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