Theorems · Theorem · linear algebra
Finsupp.linearEquivFunOnFinite_apply
∀ (R : Type u_9) (M : Type u_11) (α : Type u_12) [inst : Finite α] [inst_1 : AddCommMonoid M] [inst_2 : Semiring R] [inst_3 : Module R M] (a : α →₀ M) (a_1 : α), (Finsupp.linearEquivFunOnFinite R M α) a a_1 = a a_1
- Defined in
- Mathlib.LinearAlgebra.Finsupp.Defs
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 75 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- Modulestatement and proof · cited by 20,661
- RingHom.idstatement · cited by 18,349
- Semiringstatement and proof · cited by 13,802
- AddCommMonoidstatement and proof · cited by 12,281
- Finsuppstatement and proof · cited by 5,255
- LinearEquivstatement · cited by 3,317
- Finitestatement and proof · cited by 3,029
- Finsupp.linearEquivFunOnFinitestatement and proof · cited by 28
Cited by3
Results whose statement or proof uses this declaration.
- Algebra.SubmersivePresentation.sectionCotangent_eq_iffproof · cited by 2
- ZLattice.exists_forall_abs_repr_le_normproof · cited by 2