Theorems · Theorem · general algebraic systems
Finsupp.equivFunOnFinite_apply
∀ {α : Type u_1} {M : Type u_4} [inst : Zero M] [inst_1 : Finite α] (a : α →₀ M) (a_1 : α),
Finsupp.equivFunOnFinite a a_1 = a a_1- Defined in
- Mathlib.Data.Finsupp.Defs
- Cited by
- 10 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.
Cites5
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 and proof · cited by 5,255
- Finitestatement and proof · cited by 3,029
- Finsupp.equivFunOnFinitestatement and proof · cited by 50
Cited by10
Results whose statement or proof uses this declaration.
- Submodule.mem_span_range_iff_exists_funproof · cited by 12
- Matrix.posSemidef_iff_dotProduct_mulVecproof · cited by 5
- Matrix.posDef_iff_dotProduct_mulVecproof · cited by 3
- FunOnFinite.map_apply_applyproof · cited by 2
- Subgroup.mem_closure_range_iff_of_fintypeproof · cited by 1
- AddSubgroup.mem_closure_range_iff_of_fintypeproof · cited by 1
- Submonoid.mem_closure_range_iff_of_fintypeproof · cited by 1
- AddSubmonoid.mem_closure_range_iff_of_fintypeproof · cited by 1
- FunOnFinite.map_compproof · cited by 0
- FunOnFinite.map_idproof · cited by 0