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Description: A negated syllogism. Can be seen as a deduction form of modus tollens. (Contributed by la korvo, 1-Jan-2025.) |
Ref | Expression |
---|---|
nsyl.1 | ⊢ ganai broda gi naku brode |
nsyl.2 | ⊢ ganai brodi gi brode |
Ref | Expression |
---|---|
nsyl | ⊢ ganai broda gi naku brodi |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | nsyl.1 | . . 3 ⊢ ganai broda gi naku brode | |
2 | nsyl.2 | . . 3 ⊢ ganai brodi gi brode | |
3 | 1, 2 | nsyl3 254 | . 2 ⊢ ganai brodi gi naku broda |
4 | 3 | con2i 255 | 1 ⊢ ganai broda gi naku brodi |
Colors of variables: sumti selbri bridi |
This theorem was proved from axioms: ax-mp 10 ax-k 11 ax-s 15 ax-sdo 245 ax-efq 248 |
This theorem is referenced by: stewart 259 |
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