equal
deleted
inserted
replaced
152 lemma (in M_axioms) list_functor_abs [simp]: |
152 lemma (in M_axioms) list_functor_abs [simp]: |
153 "[| M(A); M(X); M(Z) |] ==> is_list_functor(M,A,X,Z) <-> (Z = {0} + A*X)" |
153 "[| M(A); M(X); M(Z) |] ==> is_list_functor(M,A,X,Z) <-> (Z = {0} + A*X)" |
154 by (simp add: is_list_functor_def singleton_0 nat_into_M) |
154 by (simp add: is_list_functor_def singleton_0 nat_into_M) |
155 |
155 |
156 |
156 |
157 locale M_datatypes = M_wfrank + |
157 locale (open) M_datatypes = M_wfrank + |
158 assumes list_replacement1: |
158 assumes list_replacement1: |
159 "M(A) ==> iterates_replacement(M, is_list_functor(M,A), 0)" |
159 "M(A) ==> iterates_replacement(M, is_list_functor(M,A), 0)" |
160 and list_replacement2: |
160 and list_replacement2: |
161 "M(A) ==> strong_replacement(M, |
161 "M(A) ==> strong_replacement(M, |
162 \<lambda>n y. n\<in>nat & |
162 \<lambda>n y. n\<in>nat & |