Dimension of a vector space
Finite-dimensional vector space
Constructively, a 𝕂-vector space 𝑉 has dimension 𝑛 if there merely exists an isomorphism 𝑉 ≅𝕂𝕂𝑛,
i.e. 𝑉 is 𝑛-framable. #m/def/linalg
Thus a finite-dimensional vector space 𝑉 is equipped with an 𝑛 such that 𝑉 is 𝑛-dimensional, i.e. an element of
∐𝑛∈ℕ‖𝑉≅𝕂𝕂𝑛‖.
#state/tidy | #lang/en | #SemBr