Theorems · Theorem · general algebraic systems
DFinsupp.update_eq_sub_add_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) (b : β i), f.update i b = (f - fun₀ | i => f i) + fun₀ | i => b- Defined in
- Mathlib.Data.DFinsupp.Defs
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 27 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.
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
- AddGroupstatement and proof · cited by 4,410
- DFinsuppstatement and proof · cited by 694
- DFinsupp.singlestatement and proof · cited by 113
- DFinsupp.updatestatement · cited by 8
- DFinsupp.erase_eq_sub_singleproof · cited by 1
- DFinsupp.update_eq_erase_add_singleproof · cited by 1
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.