Theorems · Theorem · linear algebra
Finsupp.uniqueLinearEquiv_symm_apply_apply
∀ (R : Type u_1) {α : Type u_3} (M : Type u_4) [inst : AddCommMonoid M] [inst_1 : Semiring R] [inst_2 : Module R M]
(a : α) [inst_3 : Subsingleton α] (m : M) (b : α), ((Finsupp.uniqueLinearEquiv R M a).symm m) b = m- Defined in
- Mathlib.LinearAlgebra.Finsupp.Pi
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 76 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites11
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 · cited by 5,255
- LinearEquivstatement · cited by 3,317
- LinearEquiv.symmstatement · cited by 1,461
- Finsupp.single_eq_sameproof · cited by 171
- Finsupp.uniqueLinearEquivstatement · cited by 16
- Finsupp.uniqueLinearEquiv_symm_applyproof · cited by 5
Cited by1
Results whose statement or proof uses this declaration.
- PowerSeries.coeff_subst_finiteproof · cited by 1