Theorems · Theorem · general algebraic systems
DFinsupp.equivFunOnFintype_apply
∀ {ι : Type u} {β : ι → Type v} [inst : (i : ι) → Zero (β i)] [inst_1 : Fintype ι] (a : Π₀ (i : ι), β i) (a_1 : ι),
DFinsupp.equivFunOnFintype a a_1 = a a_1- Defined in
- Mathlib.Data.DFinsupp.Defs
- Cited by
- 5 results in Mathlib
- Foundations
- Depth 61 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
- Fintypestatement and proof · cited by 7,736
- DFinsuppstatement and proof · cited by 694
- DFinsupp.equivFunOnFintypestatement and proof · cited by 11
Cited by5
Results whose statement or proof uses this declaration.
- DFinsupp.sum_eq_sum_fintypeproof · cited by 3
- Pi.counit_comp_dFinsuppCoeFnLinearMapproof · cited by 1
- Pi.comul_comp_dFinsuppCoeFnLinearMapproof · cited by 1
- DirectSum.IsInternal.isometryL2OfOrthogonalFamily_symm_applyproof · cited by 1
- DFinsupp.prod_eq_prod_fintypeproof · cited by 0