Theorems · Definition · ring theory

InvariantBasisNumber.casesOn

{R : Type u} →
  [inst : Semiring R] →
    {motive : InvariantBasisNumber R → Sort u_1} →
      (t : InvariantBasisNumber R) →
        ((eq_of_fin_equiv : ∀ {n m : ℕ} (a : (Fin n → R) ≃ₗ[R] Fin m → R), n = m) → motive ⋯) → motive t

Defined in: Mathlib.LinearAlgebra.InvariantBasisNumber
Cited by: 1 results in Mathlib
Foundations: Depth 23 from the axioms · uses propext, Quot.sound
Assumes: Semiring

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Cites4

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

RingHom.idstatement and proof · cited by 18,349
Semiringstatement and proof · cited by 13,802
LinearEquivstatement and proof · cited by 3,317
InvariantBasisNumberstatement and proof · cited by 13

Cited by1

Results whose statement or proof uses this declaration.

invariantBasisNumber_iffproof · cited by 1