Theorems · Theorem · group theory
Finsupp.erase_add_single
∀ {ι : Type u_1} {M : Type u_3} [inst : AddZeroClass M] (a : ι) (f : ι →₀ M), (Finsupp.erase a f + fun₀ | a => f a) = f- Defined in
- Mathlib.Algebra.Group.Finsupp
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 68 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- AddZeroClass
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 and proof · cited by 62,936
- Finsuppstatement and proof · cited by 5,255
- AddZeroClassstatement and proof · cited by 1,237
- Finsupp.singlestatement · cited by 943
- Finsupp.erasestatement · cited by 46
- Finsupp.update_selfproof · cited by 6
- Finsupp.update_eq_erase_add_singleproof · cited by 4
Cited by3
Results whose statement or proof uses this declaration.
- MvPolynomial.irreducible_of_disjoint_supportproof · cited by 1
- AddMonoidAlgebra.erase_add_singleproof · cited by 0
- MonoidAlgebra.erase_add_singleproof · cited by 0