Theorems · Theorem · general algebraic systems
Finsupp.restrictSupportEquiv_symm_apply_coe
∀ {α : Type u_1} (s : Set α) (M : Type u_12) [inst : AddCommMonoid M] [inst_1 : DecidablePred fun x => x ∈ s]
(f : ↑s →₀ M), ↑((Finsupp.restrictSupportEquiv s M).symm f) = f.extendDomain- Defined in
- Mathlib.Data.Finsupp.Basic
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 74 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- AddCommMonoidDecidablePred
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites16
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
- Setstatement and proof · cited by 53,352
- Finsetstatement · cited by 13,712
- AddCommMonoidstatement and proof · cited by 12,281
- Equivstatement and proof · cited by 8,337
- SetLike.coestatement and proof · cited by 8,199
- Set.Elemstatement and proof · cited by 7,166
- Finsuppstatement and proof · cited by 5,255
- Equiv.symmstatement and proof · cited by 3,681
- Finsupp.supportstatement and proof · cited by 828
- Subtype.coe_mkproof · cited by 81
- Finsupp.subtypeDomainproof · cited by 26
Cited by2
Results whose statement or proof uses this declaration.
- Finsupp.supportedEquivFinsupp_symm_apply_coeproof · cited by 1
- Finsupp.restrictSupportEquiv_symm_singleproof · cited by 0