author | Cezary Kaliszyk <kaliszyk@in.tum.de> |
Sat, 27 Mar 2010 08:42:07 +0100 | |
changeset 1673 | e8cf0520c820 |
parent 1595 | aeed597d2043 |
permissions | -rw-r--r-- |
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theory TestMorePerm |
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imports "Parser" |
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begin |
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(* Since there are more permutations, we do not know how to prove equivalence |
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(it is probably not true with the way alpha is defined now) so *) |
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ML {* val _ = cheat_equivp := true *} |
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atom_decl name |
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(* example from my PHD *) |
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atom_decl coname |
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nominal_datatype phd = |
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Ax "name" "coname" |
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| Cut n::"coname" t1::"phd" c::"coname" t2::"phd" bind n in t1, bind c in t2 |
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| AndR c1::"coname" t1::"phd" c2::"coname" t2::"phd" "coname" bind c1 in t1, bind c2 in t2 |
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| AndL1 n::"name" t::"phd" "name" bind n in t |
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| AndL2 n::"name" t::"phd" "name" bind n in t |
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| ImpL c::"coname" t1::"phd" n::"name" t2::"phd" "name" bind c in t1, bind n in t2 |
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| ImpR c::"coname" n::"name" t::"phd" "coname" bind n in t, bind c in t |
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thm phd.fv |
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thm phd.eq_iff |
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thm phd.bn |
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thm phd.perm |
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thm phd.induct |
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thm phd.distinct |
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thm phd.fv[simplified phd.supp] |
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text {* weirdo example from Peter Sewell's bestiary *} |
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nominal_datatype weird = |
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WBind x::"name" y::"name" p1::"weird" p2::"weird" p3::"weird" |
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bind x in p1, bind x in p2, bind y in p2, bind y in p3 |
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| WV "name" |
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| WP "weird" "weird" |
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thm permute_weird_raw.simps[no_vars] |
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thm alpha_weird_raw.intros[no_vars] |
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thm fv_weird_raw.simps[no_vars] |
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end |
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