Theorems · Theorem · linear algebra
Finsupp.supportedEquivFinsupp_symm_apply_coe
∀ {α : Type u_1} {M : Type u_2} {R : Type u_5} [inst : Semiring R] [inst_1 : AddCommMonoid M] [inst_2 : Module R M]
(s : Set α) [inst_3 : DecidablePred fun x => x ∈ s] (f : ↑s →₀ M),
↑((Finsupp.supportedEquivFinsupp s).symm f) = f.extendDomain- Defined in
- Mathlib.LinearAlgebra.Finsupp.Supported
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 77 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites19
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
- Modulestatement and proof · cited by 20,661
- RingHom.idstatement · cited by 18,349
- Semiringstatement and proof · cited by 13,802
- AddCommMonoidstatement and proof · cited by 12,281
- SetLike.coeproof · cited by 8,199
- Submodulestatement · cited by 7,192
- Set.Elemstatement and proof · cited by 7,166
- Finsuppstatement and proof · cited by 5,255
- Equiv.symmproof · cited by 3,681
- LinearEquivstatement · cited by 3,317
Cited by1
Results whose statement or proof uses this declaration.
- Finsupp.supportedEquivFinsupp_symm_singleproof · cited by 1