Theorems · Theorem · group theory
Finsupp.erase_add
∀ {ι : Type u_1} {M : Type u_3} [inst : AddZeroClass M] (a : ι) (f f' : ι →₀ M),
Finsupp.erase a (f + f') = Finsupp.erase a f + Finsupp.erase a f'- Defined in
- Mathlib.Algebra.Group.Finsupp
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 67 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.
Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- Finsuppstatement and proof · cited by 5,255
- add_zeroproof · cited by 2,707
- AddZeroClassstatement and proof · cited by 1,237
- Finsupp.extproof · cited by 399
- Finsupp.erasestatement and proof · cited by 46
- Finsupp.erase_neproof · cited by 14
- Finsupp.add_applyproof · cited by 11
- Finsupp.erase_sameproof · cited by 9
Cited by2
Results whose statement or proof uses this declaration.
- Finsupp.eraseAddHomproof · cited by 3
- DividedPowerAlgebra.submodule_span_prod_dp_eq_topproof · cited by 0