Categorical.

adjective

1. without exceptions or conditions; absolute; unqualified and unconditional:
   a categorical denial.

2. Logic.

a. (of a proposition) analyzable into a subject and an attribute related by a copula, as in the proposition “All humans are mortal.”.
b. (of a syllogism) having categorical propositions as premises.

3.

a. of, relating to, or constituting a category.
b. involving, according with, or considered with respect to specific categories.

• categorically, adverb.
  Origin: Late Latin categoricus, from Greek kategorikos, from kategoria. (1588)

“We already have. He recognised Perrault. After that, he’s categorical: no one went up until you did.” – The Frozen Dead, Bernard Minier.