cases' hb with hb1 hb2
t n : ℕ
P : ℕ → ℕ
hb : Balanced t P ∧ psum t P = n
⊢ minP t P = n / (t + 1) ∧ card (largeParts (_ : Balanced t P)) = n % (t + 1)
case intro
t n : ℕ
P : ℕ → ℕ
hb1 : Balanced t P
hb2 : psum t P = n
⊢ minP t P = n / (t + 1) ∧ card (largeParts (_ : Balanced t P)) = n % (t + 1)