(\forall j. j < n1 \to p2 j = true \to p1 (h1 j) = true) \to
(\forall j. j < n1 \to p2 j = true \to h (h1 j) = j) \to
(\forall j. j < n1 \to p2 j = true \to h1 j < n) \to
(\forall j. j < n1 \to p2 j = true \to p1 (h1 j) = true) \to
(\forall j. j < n1 \to p2 j = true \to h (h1 j) = j) \to
(\forall j. j < n1 \to p2 j = true \to h1 j < n) \to