Theorems · Theorem · linear algebra
Finsupp.uniqueLinearEquiv_symm_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]
[inst_3 : Subsingleton α] (a : α) (a_1 : M), (Finsupp.uniqueLinearEquiv R M a).symm a_1 = fun₀ | a => a_1- Defined in
- Mathlib.LinearAlgebra.Finsupp.Pi
- Cited by
- 5 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.
Cites10
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 and proof · cited by 1,461
- Finsupp.singlestatement · cited by 943
- Finsupp.uniqueLinearEquivstatement and proof · cited by 16
Cited by5
Results whose statement or proof uses this declaration.
- PowerSeries.coeff_substproof · cited by 4
- Algebra.TensorProduct.basisAux_tmulproof · cited by 2
- Finsupp.uniqueLinearEquiv_symm_apply_applyproof · cited by 1
- PowerSeries.coeff_subst_finiteproof · cited by 1
- groupHomology.δ₀_applyproof · cited by 0