How do Mendel's experiments show that traits are inherited independently?

Mendel crossed a tall pea plant with round seeds with a short pea plant with wrinkled seeds. The F₁ progeny were all tall with round seeds. Thus, tallness and round seeds are the dominant traits.
Mendel then used F₁ progeny to generate F₂ progeny by self-pollination. He observed that some F₂ progeny were tall plants with round seeds, and some were short plants with wrinkled seeds. However, he also found that some F₂ progeny showed new combinations like tall but with wrinkled seeds, while others would be short but have round seeds. Thus, Mendel’s experiments showed that traits are inherited independently.