Theorems · Theorem · general algebraic systems
DFinsupp.erase_eq_sub_single
∀ {ι : Type u} [inst : DecidableEq ι] {β : ι → Type u_1} [inst_1 : (i : ι) → AddGroup (β i)] (f : Π₀ (i : ι), β i)
(i : ι), DFinsupp.erase i f = f - fun₀ | i => f i- Defined in
- Mathlib.Data.DFinsupp.Defs
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 26 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- DecidableEqAddGroup
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites12
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
- AddGroupstatement and proof · cited by 4,410
- eq_or_neproof · cited by 1,117
- sub_selfproof · cited by 996
- sub_zeroproof · cited by 938
- DFinsuppstatement and proof · cited by 694
- DFinsupp.singlestatement · cited by 113
- DFinsupp.extproof · cited by 78
- DFinsupp.single_applyproof · cited by 35
- DFinsupp.erasestatement · cited by 29
- DFinsupp.single_eq_of_neproof · cited by 12
- DFinsupp.erase_neproof · cited by 3
Cited by1
Results whose statement or proof uses this declaration.
- DFinsupp.update_eq_sub_add_singleproof · cited by 0