Theorems · Theorem · general algebraic systems
Finsupp.equivFunOnFinite_symm_apply_apply
∀ {α : Type u_1} {M : Type u_4} [inst : Zero M] [inst_1 : Finite α] (f : α → M) (a : α),
(Finsupp.equivFunOnFinite.symm f) a = f a- Defined in
- Mathlib.Data.Finsupp.Defs
- Cited by
- 11 results in Mathlib
- Foundations
- Depth 70 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
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
- Equivstatement · cited by 8,337
- Finsuppstatement · cited by 5,255
- Equiv.symmstatement and proof · cited by 3,681
- Finitestatement and proof · cited by 3,029
- Finsupp.equivFunOnFinitestatement and proof · cited by 50
Cited by11
Results whose statement or proof uses this declaration.
- Finsupp.finite_of_nat_weight_leproof · cited by 3
- Module.Flat.tfae_equational_criterionproof · cited by 2
- AlgebraicGeometry.Ideal.span_eq_top_of_span_image_evalRingHomproof · cited by 1
- LinearMap.finsuppLinearMap_bijective_of_finiteproof · cited by 1
- Convexity.dist_convexCombPair_convexCombPairproof · cited by 1
- Module.Basis.toDual_rangeproof · cited by 1
- FunOnFinite.map_idproof · cited by 0
- Finsupp.tail_update_succproof · cited by 0
- Sym.coe_equivNatSumOfFintype_symm_applyproof · cited by 0
- groupCohomology.isMulCoboundary₁_of_isMulCocycle₁_of_aut_to_unitsproof · cited by 0
- IsZLattice.isCompact_range_of_periodicproof · cited by 0