Update De_Rham_Cohomology_of_smooth_manifolds.cpp

De_Rham_Cohomology_of_smooth_manifolds.cpp

@@ -3,40 +3,40 @@
 
 bool is_topological_space(const std::string& M)
 {
-    bool is_topological_space = false;
+    bool result = true;
 
-    // use M string to compute is_topological_space
+    // use M string to compute result
 
-    return is_topological_space;
+    return result;
 }
 
 int main()
 {
     // supposed A_topological_space_M, is_topological_space function
-    Suppose_literal (A_topological_space_M, is_topological_space("M string"));
+    Suppose_literal (a_topological_space_M, is_topological_space("M_string"));
     // like above, you may create a function for each literal below
     Suppose_literal (M_is_Hausdorff, true);
-    Suppose_literal (Points_can_be_seperated_by_open_sets, true);
+    Suppose_literal (points_can_be_seperated_by_open_sets, true);
     Suppose_literal (M_is_second_countable, true);
     Suppose_literal (M_has_a_countable_topological_base, true);
     Suppose_literal (p_is_element_of_M, true);
     Suppose_literal (U_is_proper_subset_of_M, true);
     Suppose_literal (V_is_subset_of_real_coordinate_space_of_dimension_n, true);
-    Suppose_literal (For_all_p_there_is_an_open_neighbourhood_U, true);
+    Suppose_literal (for_all_p_there_is_an_open_neighbourhood_U, true);
     Suppose_literal (U_is_homeomorphic_to_an_open_subset_V, true);
 
-    auto manifold_of_dimension_n = M_is_Hausdorff. And (Points_can_be_seperated_by_open_sets).
+    auto manifold_of_dimension_n = M_is_Hausdorff. And (points_can_be_seperated_by_open_sets).
     And (M_is_second_countable). And (M_has_a_countable_topological_base). And (p_is_element_of_M).
     And (U_is_proper_subset_of_M). And (V_is_subset_of_real_coordinate_space_of_dimension_n).
-    And (For_all_p_there_is_an_open_neighbourhood_U). And (U_is_homeomorphic_to_an_open_subset_V).
-    Implying (A_topological_space_M);
+    And (for_all_p_there_is_an_open_neighbourhood_U). And (U_is_homeomorphic_to_an_open_subset_V).
+    Implying (a_topological_space_M);
 
-    Suppose_literal (Let_M_be_a_manifold_of_dimension_n, manifold_of_dimension_n. Value());
+    Suppose_literal (let_M_be_a_manifold_of_dimension_n, manifold_of_dimension_n. Value());
     // like the supposed literal A_topological_space_M, you may create a function for each literal below
-    Suppose_literal (A_pair_U_psi_where_U_is_element_of_M_is_open, true);
+    Suppose_literal (a_pair_U_psi_where_U_is_element_of_M_is_open, true);
     Suppose_literal (psi_maps_U_to_V_a_homeomorphism_to_some_open_V, true);
 
-    auto chart = Let_M_be_a_manifold_of_dimension_n. And (A_pair_U_psi_where_U_is_element_of_M_is_open).
+    auto chart = let_M_be_a_manifold_of_dimension_n. And (a_pair_U_psi_where_U_is_element_of_M_is_open).
     And (psi_maps_U_to_V_a_homeomorphism_to_some_open_V);