diff --git a/theorems/T000808.md b/theorems/T000808.md new file mode 100644 index 000000000..55ecd695d --- /dev/null +++ b/theorems/T000808.md @@ -0,0 +1,12 @@ +--- +uid: T000808 +if: + P000120: true +then: + P000210: true +refs: + - mathse: 5116648 + name: Do the Arkhangel'skii $\alpha_i$ properties hold for order topologies? +--- + +See {{mathse:5116648}}. diff --git a/theorems/T000809.md b/theorems/T000809.md new file mode 100644 index 000000000..139bea2bc --- /dev/null +++ b/theorems/T000809.md @@ -0,0 +1,9 @@ +--- +uid: T000809 +if: + P000154: true +then: + P000210: true +--- + +By {T750} and {T808}, every {P133} is {P210}, the assertion follows as the property is hereditary.