Theorems · Theorem · general algebraic systems
Finsupp.unique_single
∀ {α : Type u_1} {M : Type u_5} [inst : Zero M] [inst_1 : Unique α] (x : α →₀ M), x = fun₀ | default => x default- Defined in
- Mathlib.Data.Finsupp.Single
- Cited by
- 6 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.
Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- Finsuppstatement and proof · cited by 5,255
- Finsupp.singlestatement · cited by 943
- Uniquestatement and proof · cited by 400
- Finsupp.extproof · cited by 399
- Finsupp.single_eq_sameproof · cited by 171
- Unique.forall_iffproof · cited by 13
Cited by6
Results whose statement or proof uses this declaration.
- Finsupp.linearCombination_uniqueproof · cited by 4
- PowerSeries.X_pow_dvd_iffproof · cited by 4
- MvPolynomial.eval₂_uniqueAlgEquivproof · cited by 4
- PowerSeries.coeff_defproof · cited by 2
- MvPolynomial.coeff_uniqueAlgEquivproof · cited by 1
- MvPolynomial.coeff_uniqueAlgEquiv_symmproof · cited by 0