Theorems · Theorem · general algebraic systems
DFinsupp.equivFunOnFintype_symm_single
∀ {ι : Type u} {β : ι → Type v} [inst : (i : ι) → Zero (β i)] [inst_1 : DecidableEq ι] [inst_2 : Fintype ι] (i : ι)
(m : β i), DFinsupp.equivFunOnFintype.symm (Pi.single i m) = fun₀ | i => m- Defined in
- Mathlib.Data.DFinsupp.Defs
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 62 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- ZeroDecidableEqFintype
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- Equivstatement · cited by 8,337
- Fintypestatement and proof · cited by 7,736
- Equiv.symmstatement · cited by 3,681
- DFinsuppstatement · cited by 694
- Pi.singlestatement · cited by 518
- DFinsupp.singlestatement and proof · cited by 113
- DFinsupp.equivFunOnFintypestatement · cited by 11
- DFinsupp.equivFunOnFintype_symm_coeproof · cited by 1
Cited by1
Results whose statement or proof uses this declaration.
- DirectSum.linearEquivFunOnFintype_symm_singleproof · cited by 0