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Copyright 2026 The Formal Conjectures Authors.
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module
public import Mathlib.Data.ZMod.Basic@[expose] public sectionNotation for finite field vector spaces
This file defines the notation 𝔽 p n for the vector space Fin n → ZMod p
over the finite field of order p, and provides standard abbreviations for
small primes.
𝔽 p n is the vector space (Z/pZ)^n. When p is prime, this is $\mathbb{F}_p^n$.
abbrev 𝔽 (p n : ℕ) := Fin n → ZMod p
𝔽₂ n is the vector space $\mathbb{F}_2^n$.
abbrev 𝔽₂ (n : ℕ) := 𝔽 2 n
𝔽₃ n is the vector space $\mathbb{F}_3^n$.
abbrev 𝔽₃ (n : ℕ) := 𝔽 3 n
𝔽₅ n is the vector space $\mathbb{F}_5^n$.
abbrev 𝔽₅ (n : ℕ) := 𝔽 5 n
𝔽₇ n is the vector space $\mathbb{F}_7^n$.
abbrev 𝔽₇ (n : ℕ) := 𝔽 7 n