@xamidi/mmsolitaire (repository)
Branch of metamath/mmsolitaire/pmproofs of the Metamath Solitaire project.
- [2be2349] found 17 shorter proofs (proposal)
- [21911f8] found 5 shorter proofs (proposal)
- [f9a40e7] found 40 shorter proofs (proposal)
- [9bb17b0] found 38 shorter proofs (proposal)
Formula | Improvement(s) | Reduced by | |
---|---|---|---|
*2.32 | CAApqrApAqr |
91↦83 | 8 |
*2.62 | CApqCCpqq |
89↦77 | 12 |
*2.73 | CCpqCAApqrAqr |
165↦153 | 12 |
*2.82 | CAApqrCAApNrsAApqs |
91↦89 | 2 |
*3.3 Exp | CCKpqrCpCqr |
59↦55 | 4 |
*3.31 Imp | CCpCqrCKpqr |
103↦83 | 20 |
*3.33 Syll | CKCpqCqrCpr |
95↦73 | 22 |
*3.34 Syll | CKCpqCrpCrq |
105↦73 | 32 |
*3.43 Comp | CKCpqCprCpKqr |
137↦109 | 28 |
*3.44 | CKCpqCrqCAprq |
203↦161 | 42 |
*3.47 | CKCpqCrsCKprKqs |
203↦199 | 4 |
*3.48 | CKCpqCrsCAprAqs |
241↦167 | 74 |
*4.11 | EEpqENpNq |
363↦359 | 4 |
*4.12 | EEpNqEqNp |
363↦359 | 4 |
*4.14 | ECKpqrCKpNrNq |
321↦263 | 58 |
*4.15 | ECKpqNrCKqrNp |
277↦205 | 72 |
*4.22 | CKEpqEqrEpr |
273↦271 | 2 |
*4.32 | EKKpqrKpKqr |
355↦313 | 42 |
*4.33 | EAApqrApAqr |
207↦199 | 8 |
*4.36 | CEpqEKprKqr |
271↦219 | 52 |
*4.37 | CEpqEAprAqr |
307↦255 | 52 |
*4.38 | CKEpqErsEKprKqs |
585↦527 | 58 |
*4.39 | CKEpqErsEAprAqs |
609↦463 | 146 |
*4.4 | EKpAqrAKpqKpr |
355↦345 | 10 |
*4.41 | EApKqrKApqApr |
271↦241 | 30 |
*4.42 | EpAKpqKpNq |
165↦157 | 8 |
*4.52 | EKpNqNANpq |
219↦207 | 12 |
*4.53 | ENKpNqANpq |
169↦157 | 12 |
*4.72 | ECpqEqApq |
195↦193 | 2 |
*4.76 | EKCpqCprCpKqr |
271↦241 | 30 |
*4.77 | EKCpqCrqCAprq |
375↦265 | 110 |
*4.78 | EACpqCprCpAqr |
319↦191 | 128 |
*4.79 | EACpqCrqCKprq |
383↦259 | 124 |
*4.82 | EKCpqCpNqNp |
175↦157 | 18 |
*4.83 | EKCpqCNpqq |
245↦197 | 48 |
*4.85 | CEpqECrpCrq |
123↦119 | 4 |
*4.86 | CEpqEEprEqr |
617↦473 | 144 |
*4.87 | KKECKpqrCpCqrECpCqrCqCprECqCprCKqpr |
523↦439 | 84 |
*5.1 | CKpqEpq |
107↦87 | 20 |
*5.15 | AEpqEpNq |
267↦161 | 106 |
*5.16 | NKEpqEpNq |
333↦331 | 2 |
*5.17 | EKApqNKpqEpNq |
329↦285 | 44 |
*5.18 | EEpqNEpNq |
503↦491 | 12 |
*5.19 | NEpNp |
123↦105 | 18 |
*5.21 | CKNpNqEpq |
115↦111 | 4 |
*5.22 | ENEpqAKpNqKqNp |
363↦333 | 30 |
*5.23 | EEpqAKpqKNpNq |
513↦501 | 12 |
*5.24 | ENAKpqKNpNqAKpNqKqNp |
585↦545 | 40 |
*5.3 | ECKpqrCKpqKpr |
127↦125 | 2 |
*5.31 | CKpCqrCqKrp |
119↦105 | 14 |
*5.32 | ECpEqrEKpqKpr |
625↦621 | 4 |
*5.33 | EKpCqrKpCKpqr |
389↦311 | 78 |
*5.35 | CKCpqCprCpEqr |
159↦129 | 30 |
*5.36 | EKpEpqKqEpq |
381↦257 | 124 |
*5.53 | ECAApqrsKKCpsCqsCrs |
673↦551 | 122 |
*5.54 | AEKpqpEKpqq |
239↦149 | 90 |
*5.55 | AEApqpEApqq |
167↦165 | 2 |
*5.6 | ECKpNqrCpAqr |
203↦163 | 40 |
*5.61 | EKApqNqKpNq |
259↦231 | 28 |
*5.62 | EAKpqNqApNq |
167↦157 | 10 |
*5.7 | EEApqArqAqEpr |
673↦605 | 68 |
*5.74 | ECpEqrECpqCpr |
337↦333 | 4 |
*5.75 | CKCpNqErAqpEKrNqp |
387↦331 | 56 |
meredith | CCCCCpqCNrNsrtCCtpCsp |
145↦141 | 4 |
biass | EEEpqrEpEqr |
2127↦1579 | 548 |
Σ | (65 theorems) | 20333↦17299 | 3034 |