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Changeset
14277:1b40881bbfb9
by Dominique Unruh _unruh@ut.ee_ :
Collected changes to Complex_Bounded_Operators AFP entry:<br><br><br>Complex_Vector_Spaces.thy<br>=========================<br><br>New lemmas: clinear_scaleR[simp], abs_summable_on_scaleC_left[intro],<br> abs_summable_on_scaleC_right[intro], ccspan_superset',<br> ccspan_closure[simp], ccspan_finite, ccspan_UNIV[simp],<br> infsum_in_closed_csubspaceI,<br> closed_csubspace_space_as_set[simp], SUP_ccspan<br><br>Renamed lemma: bounded_clinear_eq_on -> bounded_clinear_eq_on_closure<br><br>Changed typeclass: basis_enum (has additional constant "canonical_basis_length")<br><br>Renamed definition: Abs_clinear_space -> Abs_ccsubspace<br><br><br><br>Complex_Inner_Product.thy<br>=========================<br><br>New lemmas: mem_ortho_ccspanI, basis_projections_reconstruct_has_sum,<br> basis_projections_reconstruct,<br> basis_projections_reconstruct_summable,<br> parseval_identity_has_sum, parseval_identity_summable,<br> parseval_identity, canonical_basis_is_onb[simp]<br><br><br><br>Complex_Bounded_Linear_Functions.thy<br>====================================<br><br>New definition: invertible_cblinfun (operator has with left inverse)<br><br>New lemmas: not_not_singleton_cblinfun_zero,<br> cblinfun_norm_approx_witness', summable_on_cblinfun_apply,<br> summable_on_cblinfun_apply_left,<br> abs_summable_on_cblinfun_apply_left,<br> infsum_cblinfun_apply_left, has_sum_cblinfun_apply_left,<br> bounded_clinear_cblinfun_compose_left,<br> bounded_clinear_cblinfun_compose_right,<br> clinear_cblinfun_compose_left,<br> clinear_cblinfun_compose_right,<br> additive_cblinfun_compose_left[simp],<br> additive_cblinfun_compose_right[simp],<br> isCont_cblinfun_compose_left,<br> isCont_cblinfun_compose_right, cspan_compose_closed,<br> cspan_adj_closed, unitaryI, norm_isometry_compose',<br> unitary_nonzero[simp], isometry_inj, unitary_adj_inv,<br> isometry_cinner_both_sides, isometry_image_is_ortho_set,<br> cblinfun_apply_in_image', cblinfun_image_ccspan_leqI,<br> cblinfun_same_on_image, lift_cblinfun_comp,<br> cblinfun_image_def2, unitary_image_onb,<br> sandwich_arg_compose, sandwich_compose,<br> inj_sandwich_isometry, sandwich_isometry_id,<br> is_Proj_id[simp], norm_is_Proj_nonzero,<br> Proj_compose_cancelI, space_as_setI_via_Proj,<br> unitary_image_ortho_compl, Proj_on_image[simp],<br> kernel_apply_self, leq_kernel_iff, cblinfun_image_kernel,<br> cblinfun_image_kernel_unitary, kernel_cblinfun_compose,<br> eigenspace_0[simp], kernel_isometry,<br> cblinfun_image_eigenspace_isometry,<br> cblinfun_image_eigenspace_unitary, kernel_member_iff,<br> kernel_square[simp], cblinfun_inv_left,<br> inv_cblinfun_invertible, cblinfun_inv_right,<br> iso_cblinfun_unitary, invertible_cblinfun_isometry,<br> summable_cblinfun_apply_invertible,<br> infsum_cblinfun_apply_invertible, less_eq_scaled_id_norm,<br> butterflies_sum_id_finite, butterfly_sum_left,<br> butterfly_sum_right, cblinfun_extension_exists_restrict<br><br>Changed lemmas: cblinfun_image_INF_eq_general, cblinfun_image_INF_eq<br> (more general), positive_hermitianI (flipped sides of<br> equality), rank1_compose_right, rank1_uminus,<br> rank1_uminus_iff (more general type class)<br><br>Removed lemma: dense_span_separating (use<br> bounded_clinear_eq_on_closure instead)<br><br>Removed bundles: blinfun_notation, no_blinfun_notation<br><br><br><br>Complex_L2.thy<br>==============<br><br>New lemmas: clinear_Rep_ell2[simp], Abs_ell2_inverse_finite[simp],<br> norm_ell2_bound_trunc, bounded_clinear_Rep_ell2,<br> trunc_ell2_singleton, trunc_ell2_insert,<br> trunc_ell2_finite_sum, is_orthogonal_trunc_ell2,<br> ell2_decompose_has_sum, ell2_decompose_infsum,<br> ell2_decompose_summable, Rep_ell2_cblinfun_apply_sum,<br> explicit_cblinfun_exists,<br> explicit_cblinfun_exists_bounded,<br> explicit_cblinfun_exists_finite_dim[simp],<br> explicit_cblinfun_ket,<br> Rep_ell2_explicit_cblinfun_ket[simp]<br><br>Changed lemmas: cinner_ket (uses "of_bool" instead of "if")<br><br>Changed definition: ket (uses "of_bool" instead of "if")<br><br>New definition: explicit_cblinfun (define an operator by giving the<br> entries of an infinite matrix)<br><br><br><br>Cblinfun_Code:<br>==============<br><br>New definition: butterfly_code<br><br>New lemma: butterfly_code<br><br>Renamed definition: cblinfun_apply_code -> cblinfun_apply_ell2<br><br>Renamed lemmas:<br>- vec_of_ell2_timesScalarVec -> vec_of_ell2_scaleC<br>- cinner_ell2_code' -> cinner_ell2_code<br>- times_ell2_code' -> times_ell2_code<br>- divide_ell2_code' -> divide_ell2_code<br>- inverse_ell2_code' -> inverse_ell2_code<br>- one_ell2_code' -> one_ell2_code<br>- cblinfun_apply_code -> cblinfun_apply_ell2<br>- cblinfun_apply_code -> cblinfun_apply_ell2<br><br><br><br><br>Cblinfun_Matrix.thy<br>===================<br><br>New lemmas: vec_of_basis_enum_carrier_vec, cblinfun_of_mat_invalid<br><br><br><br>extra/Extra_General.thy<br>=======================<br><br>New lemmas: not_not_singleton_zero, has_sumI_metric,<br> limitin_pullback_topology, tendsto_coordinatewise,<br> limitin_closure_of<br><br><br><br>extra/Extra_Vector_Spaces.thy<br>=============================<br><br>New lemmas: summable_on_bounded_linear, any_norm_exists,<br> abs_summable_on_scaleR_left[intro],<br> abs_summable_on_scaleR_right[intro],<br><br>Changed lemma: enum_idx_bound (expressed using CARD, added [simp])<br><br><br><br>extra/Extra_Jordan_Normal_Form.thy<br>==================================<br><br>New lemmas: map_map_vec_cols, map_vec_conjugate
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Changeset
14275:912451e306fd
by Emin Karayel _me@eminkarayel.de_ :
Updated metadata for several entries.<br><br>- Updated categorization for derandomization libraries, based on the newly introduced CS/Alg./Randomized category.<br>- Added related reference for Nils Cremer's Tree Enumeration<br>- Removed obsolete comments in Expander Grapgs
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Changeset
14195:ae5dec7716f4
by wenzelm :
prefer @{attributes} antiquotation over Attrib.internal;<br>adapted to Isabelle/bc42c074e58f;
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thys/Smith_Normal_Form/Admits_SNF_From_Diagonal_Iff_Bezout_Ring.thy (diff) The file was modified
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thys/Well_Quasi_Orders/Wqo_Instances.thy (diff)