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| Description: A syllogism underlying the Swallowing Elephants puzzle from chapter 4 of [Stewart] p. 22. (Contributed by la korvo, 1-Jan-2025.) |
| Ref | Expression |
|---|---|
| stewart.0 | ⊢ ganai broda gi brode |
| stewart.1 | ⊢ ganai brodi gi brodo |
| stewart.2 | ⊢ ganai brodu gi brodi |
| stewart.3 | ⊢ ganai brode gi naku brodo |
| Ref | Expression |
|---|---|
| stewart | ⊢ ganai broda gi naku brodu |
| Step | Hyp | Ref | Expression |
|---|---|---|---|
| 1 | stewart.0 | . . 3 ⊢ ganai broda gi brode | |
| 2 | stewart.3 | . . 3 ⊢ ganai brode gi naku brodo | |
| 3 | 1, 2 | syl 21 | . 2 ⊢ ganai broda gi naku brodo |
| 4 | stewart.2 | . . 3 ⊢ ganai brodu gi brodi | |
| 5 | stewart.1 | . . 3 ⊢ ganai brodi gi brodo | |
| 6 | 4, 5 | syl 21 | . 2 ⊢ ganai brodu gi brodo |
| 7 | 3, 6 | nsyl 295 | 1 ⊢ ganai broda gi naku brodu |
| Colors of variables: sumti selbri bridi |
| Syntax hints: naku bnk 272 |
| This theorem was proved from axioms: ax-mp 10 ax-k 11 ax-s 15 ax-sdo 281 ax-efq 284 |
| This theorem is referenced by: (None) |
| Copyright terms: Public domain | W3C validator |