Axiomatic system - creating theorems
Consider the following axiomatic system:
Axiom 1: Each game is played by two distinct teams
Axiom 2: There are at least four teams
Axiom 3: There are at least six games played
Axiom 4: Each team played at most 4 games.
1. Expand your axiomatic system from part A by doing the following:
a. Create two theorems that follow from the four axioms.
b. Prove each theorem from part (a) using any of the four axioms and/or any of the theorems from part (a) that you have already proven.