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1911
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theory SingleLet
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2024
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imports "../NewParser"
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1596
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begin
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atom_decl name
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2400
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declare [[STEPS = 20]]
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2294
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2336
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nominal_datatype trm =
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1911
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Var "name"
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| App "trm" "trm"
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2024
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| Lam x::"name" t::"trm" bind_set x in t
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| Let a::"assg" t::"trm" bind_set "bn a" in t
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2311
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| Foo x::"name" y::"name" t::"trm" t1::"trm" t2::"trm" bind_set x in y t t1 t2
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2296
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| Bar x::"name" y::"name" t::"trm" bind y x in t x y
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2316
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| Baz x::"name" t1::"trm" t2::"trm" bind x in t1, bind x in t2
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1911
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and assg =
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2320
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As "name" x::"name" t::"trm" bind x in t
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1596
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binder
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1911
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bn::"assg \<Rightarrow> atom set"
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1596
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where
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2320
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"bn (As x y t) = {atom x}"
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1911
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23 |
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2397
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(* can lift *)
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2401
7645e18e8b19
modified the code for class instantiations (with help from Florian)
Christian Urban <urbanc@in.tum.de>
diff
changeset
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2397
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thm distinct
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thm trm_raw_assg_raw.inducts
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thm fv_defs
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2384
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thm perm_simps
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thm perm_laws
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2397
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31 |
thm trm_raw_assg_raw.size(9 - 16)
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2398
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(* cannot lift yet *)
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thm eq_iff
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thm eq_iff_simps
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2403
a92d2c915004
cezary made the eq_iff lemmas to lift (still needs some infrastructure in quotient)
Christian Urban <urbanc@in.tum.de>
diff
changeset
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(* bn / eqvt lemmas for fv / fv_bn / bn *)
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2361
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2398
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ML {*
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val thms_d = map (lift_thm [@{typ trm}, @{typ assg}] @{context}) @{thms distinct}
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*}
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2397
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2398
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ML {*
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val thms_i = map (lift_thm [@{typ trm}, @{typ assg}] @{context}) @{thms trm_raw_assg_raw.inducts}
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*}
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ML {*
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val thms_f = map (lift_thm [@{typ trm}, @{typ assg}] @{context}) @{thms fv_defs}
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*}
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ML {*
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val thms_i = map (lift_thm [@{typ trm}, @{typ assg}] @{context}) @{thms trm_raw_assg_raw.size(9 - 16)}
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*}
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ML {*
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val thms_p = map (lift_thm [@{typ trm}, @{typ assg}] @{context}) @{thms perm_simps}
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*}
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ML {*
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val thms_f = map (lift_thm [@{typ trm}, @{typ assg}] @{context}) @{thms perm_laws}
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*}
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section {* NOT *}
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2402
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lemma [quot_respect]:
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"(alpha_assg_raw ===> alpha_assg_raw ===> op =) alpha_bn_raw alpha_bn_raw"
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sorry
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2403
a92d2c915004
cezary made the eq_iff lemmas to lift (still needs some infrastructure in quotient)
Christian Urban <urbanc@in.tum.de>
diff
changeset
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69 |
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2402
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ML {*
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2403
a92d2c915004
cezary made the eq_iff lemmas to lift (still needs some infrastructure in quotient)
Christian Urban <urbanc@in.tum.de>
diff
changeset
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71 |
val thms_e = map (lift_thm [@{typ trm}, @{typ assg}] @{context})
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a92d2c915004
cezary made the eq_iff lemmas to lift (still needs some infrastructure in quotient)
Christian Urban <urbanc@in.tum.de>
diff
changeset
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@{thms eq_iff[unfolded alphas permute_prod.simps prod_fv.simps prod_alpha_def prod_rel.simps
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a92d2c915004
cezary made the eq_iff lemmas to lift (still needs some infrastructure in quotient)
Christian Urban <urbanc@in.tum.de>
diff
changeset
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prod.cases]}
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2402
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*}
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2397
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2361
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thm perm_defs
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thm perm_simps
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lemma supp_fv:
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"supp t = fv_trm t"
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"supp b = fv_bn b"
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apply(induct t and b rule: i1)
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apply(simp_all add: f1)
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apply(simp_all add: supp_def)
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2365
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apply(simp_all add: b1)
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sorry
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consts perm_bn_trm :: "perm \<Rightarrow> trm \<Rightarrow> trm"
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consts perm_bn_assg :: "perm \<Rightarrow> assg \<Rightarrow> assg"
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lemma y:
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"perm_bn_trm p (Var x) = (Var x)"
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"perm_bn_trm p (App t1 t2) = (App t1 t2)"
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"perm_bn_trm p ("
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2361
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2336
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102 |
typ trm
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typ assg
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1911
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105 |
thm trm_assg.fv
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thm trm_assg.supp
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2024
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107 |
thm trm_assg.eq_iff
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1911
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108 |
thm trm_assg.bn
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thm trm_assg.perm
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thm trm_assg.induct
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thm trm_assg.inducts
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thm trm_assg.distinct
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ML {* Sign.of_sort @{theory} (@{typ trm}, @{sort fs}) *}
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2024
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114 |
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2288
3b83960f9544
new fv/fv_bn function (supp breaks now); exported raw perms and raw funs into separate ML-files
Christian Urban <urbanc@in.tum.de>
diff
changeset
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115 |
(* TEMPORARY
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2024
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116 |
thm trm_assg.fv[simplified trm_assg.supp(1-2)]
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2288
3b83960f9544
new fv/fv_bn function (supp breaks now); exported raw perms and raw funs into separate ML-files
Christian Urban <urbanc@in.tum.de>
diff
changeset
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117 |
*)
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2064
2725853f43b9
solved the problem with equivariance by first eta-normalising the goal
Christian Urban <urbanc@in.tum.de>
diff
changeset
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118 |
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1596
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119 |
end
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