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Mirrors > Home > MPE Home > Th. List > Mathboxes > bj-nimn | Structured version Visualization version Unicode version |
Description: If a formula is true, then it does not imply its negation. (Contributed by BJ, 19-Mar-2020.) A shorter proof is possible using id 22 and jc 152, however, the present proof uses theorems that are more basic than jc 152. (Proof modification is discouraged.) |
Ref | Expression |
---|---|
bj-nimn |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | pm2.01 173 |
. 2
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2 | 1 | con2i 124 |
1
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Colors of variables: wff setvar class |
Syntax hints: ![]() ![]() |
This theorem was proved from axioms: ax-mp 5 ax-1 6 ax-2 7 ax-3 8 |
This theorem is referenced by: bj-nimni 31206 |
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