Theorems · Theorem · group theory
Finsupp.single_add_erase
∀ {ι : Type u_1} {M : Type u_3} [inst : AddZeroClass M] (a : ι) (f : ι →₀ M), (fun₀ | a => f a) + Finsupp.erase a f = f- Defined in
- Mathlib.Algebra.Group.Finsupp
- Cited by
- 6 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_single_add_eraseproof · cited by 2
Cited by6
Results whose statement or proof uses this declaration.
- Finsupp.inductionproof · cited by 12
- Finsupp.induction_on_maxproof · cited by 6
- SkewMonoidAlgebra.single_add_eraseproof · cited by 2
- AddMonoidAlgebra.single_add_eraseproof · cited by 1
- LinearMap.prodOfFinsuppNat_injectiveproof · cited by 1
- MonoidAlgebra.single_add_eraseproof · cited by 0