Mathbox for Jarvin Udandy |
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Mirrors > Home > MPE Home > Th. List > Mathboxes > onenotinotbothi | Structured version Visualization version Unicode version |
Description: From one negated implication it is not the case its non negated form and a random others are both true. (Contributed by Jarvin Udandy, 11-Sep-2020.) |
Ref | Expression |
---|---|
onenotinotbothi.1 |
Ref | Expression |
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onenotinotbothi |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | onenotinotbothi.1 | . . 3 | |
2 | 1 | orci 405 | . 2 |
3 | pm3.14 523 | . 2 | |
4 | 2, 3 | ax-mp 5 | 1 |
Colors of variables: wff setvar class |
Syntax hints: wn 3 wi 4 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: (None) |
Copyright terms: Public domain | W3C validator |