p → q ^ ~q v ~r
≡ p v (~q ^ ~q ) v ~r
≡ (p v ~q) v ~r
≡ p → q v ~r
≡ p → q → r
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p → q ^ ~q v ~r
≡ p v (~q ^ ~q ) v ~r
≡ (p v ~q) v ~r
≡ p → q v ~r
≡ p → q → r