Theorems · Theorem · linear algebra
Finsupp.uniqueLinearEquiv_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 : α →₀ M), (Finsupp.uniqueLinearEquiv R M a) a_1 = a_1 a- Defined in
- Mathlib.LinearAlgebra.Finsupp.Pi
- Cited by
- 6 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.
Cites8
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
- Finsupp.uniqueLinearEquivstatement and proof · cited by 16
Cited by6
Results whose statement or proof uses this declaration.
- groupHomology.comp_d₁₀_eqproof · cited by 6
- PowerSeries.WithPiTopology.tendsto_iff_coeff_tendstoproof · cited by 5
- groupHomology.chainsMap_f_0_comp_chainsIso₀proof · cited by 3
- PowerSeries.hasSum_of_monomials_selfproof · cited by 2
- Algebra.TensorProduct.basis_repr_symm_applyproof · cited by 2
- Rep.tateNorm_eqproof · cited by 0