Theorems · Theorem · linear algebra
Finsupp.curryLinearEquiv_symm_apply
∀ {α : Type u_9} {β : Type u_10} (R : Type u_11) {M : Type u_12} [inst : Semiring R] [inst_1 : AddCommMonoid M]
[inst_2 : Module R M] (a : α →₀ β →₀ M), (Finsupp.curryLinearEquiv R).symm a = a.uncurry- Defined in
- Mathlib.LinearAlgebra.Finsupp.Defs
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 85 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- SemiringAddCommMonoidModule
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 and proof · cited by 5,255
- LinearEquivstatement · cited by 3,317
- LinearEquiv.symmstatement and proof · cited by 1,461
- Finsupp.curryLinearEquivstatement and proof · cited by 11
- Finsupp.uncurrystatement · cited by 11
Cited by4
Results whose statement or proof uses this declaration.
- Module.Basis.smulTower_reprproof · cited by 4
- Rep.barComplex.d_singleproof · cited by 3
- Representation.leftRegularTensorTrivialIsoFree_symm_apply_single_singleproof · cited by 1
- Representation.freeLift_single_singleproof · cited by 1