Theorems · Theorem · general algebraic systems
Finsupp.erase_single
∀ {α : Type u_1} {M : Type u_5} [inst : Zero M] {a : α} {b : M}, (Finsupp.erase a fun₀ | a => b) = 0- Defined in
- Mathlib.Data.Finsupp.Single
- Cited by
- 5 results in Mathlib
- Foundations
- Depth 66 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Zero
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites3
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Finsuppstatement · cited by 5,255
- Finsupp.singlestatement · cited by 943
- Finsupp.erasestatement · cited by 46
Cited by5
Results whose statement or proof uses this declaration.
- AddMonoidAlgebra.erase_singleproof · cited by 1
- IsPrimePow.exists_ordCompl_eq_oneproof · cited by 1
- SkewMonoidAlgebra.erase_singleproof · cited by 1
- MonoidAlgebra.erase_singleproof · cited by 0
- DividedPowerAlgebra.submodule_span_prod_dp_eq_topproof · cited by 0