have hqM3 : biggerPrime M ∣ M ! :=
  Iff.mpr (Prime.dvd_factorial (biggerPrimeIsPrime _)) hqM2
M : ℕ
hqM : ¬biggerPrime M ≥ M
h1 : biggerPrime M ∣ M ! + 1
hqM2 : biggerPrime M ≤ M
⊢ False
M : ℕ
hqM : ¬biggerPrime M ≥ M
h1 : biggerPrime M ∣ M ! + 1
hqM2 : biggerPrime M ≤ M
hqM3 : biggerPrime M ∣ M !
⊢ False