First step in investigations is a create of hypothesis. Hypothesis is a question or assumption of results. In next step is created a proof which negated or confirmed hypothesis. After that is received a thesis. Thesis plus proof equal theorem.
In this post was described a simple model of theorem which have a multi conclusions. In next part for another day I will try explain this conclusions.
There is certainly a lot to know about this topic.
I like all the points you’ve made.