Theorems · Definition · general algebraic systems
DFinsupp.erase
{ι : Type u} →
{β : ι → Type v} → [inst : (i : ι) → Zero (β i)] → [DecidableEq ι] → ι → (Π₀ (i : ι), β i) → Π₀ (i : ι), β iRedefine f i to be 0.
- Defined in
- Mathlib.Data.DFinsupp.Defs
- Cited by
- 29 results in Mathlib
- Foundations
- Depth 16 from the axioms · uses propext, Quot.sound
- Assumes
- ZeroDecidableEq
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Multisetproof · cited by 2,627
- DFinsuppstatement and proof · cited by 694
- DFinsupp.toFunproof · cited by 5
- DFinsupp.support'proof · cited by 5
- Trunc.mapproof · cited by 3
Cited by30
Results whose statement or proof uses this declaration.
- iSupIndep_of_dfinsupp_lsum_injectiveproof · cited by 5
- iSupIndep.dfinsupp_lsum_injectiveproof · cited by 5
- DFinsupp.inductionproof · cited by 5
- DFinsupp.eraseAddHomproof · cited by 3
- DFinsupp.erase_nestatement · cited by 3
- DFinsupp.erase_singlestatement · cited by 2
- DFinsupp.support_erasestatement and proof · cited by 2
- DFinsupp.filter_ne_eq_erasestatement · cited by 2
- DFinsupp.Lex.acc_of_singleproof · cited by 2
- iSupIndep_iff_forall_dfinsuppstatement and proof · cited by 2
- DFinsupp.single_add_erasestatement · cited by 1
- DFinsupp.erase_add_singlestatement · cited by 1