Practice problem
Congruence Is Reflexive, Symmetric, and Transitive
"Anna's eraser is congruent to Britney's eraser, and Conrad's eraser is congruent to Dorian's eraser. Furthermore, Britney smiles whenever she sees Conrad's eraser, and Conrad laughs whenever he sees Britney's eraser. Therefore, Anna's eraser is congruent to Dorian's eraser."
Is the argument above valid? If so, how could you justify the argument?