Fptp (often) results in (single party) government

We know that without pr there is no mandate (for a single party) to rule... a government can only rule (with a mandate) if there is pr but due to the nature of pr elections we are very likely to get a coalition. Government requires the lack of a coalition (coalitions are not government) and almost always pr elections result in the requirement to form a coalition. Unless a pr election results in an overall majority for a single party then there can be no government under pr. Only with fptp can there be a single-party government... usually... and since all governments are single-party governments then (generally) only with fptp can there be a government. Coalitions are not government which means government (generally) requires fptp. Unless there is a (rare) single-party victory under pr then government requires fptp. Without fptp there is (almost always) no government. Governments are only formed under fptp or the rare case of a single-party majority under pr. With pr it's rare to get a government. With fptp we almost always get a government.