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Theorems · Theorem · general algebraic systems

Finsupp.split_apply

∀ {ι : Type u_4} {M : Type u_5} {αs : ι → Type u_12} [inst : Zero M] (l : (i : ι) × αs i →₀ M) (i : ι) (x : αs i),
  (l.split i) x = l ⟨i, x⟩
Defined in
Mathlib.Data.Finsupp.Basic
Cited by
4 results in Mathlib
Foundations
Depth 73 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
Zero
Mathlib docsSourceLoogleLeanSearch

Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

sigmaFinsuppEquivDFinsupp_single · cited by 2sigmaFinsuppEquivDFinsupp…Finsupp.sigma_sum · cited by 0Finsupp.sigma_sumFinsupp.split_embSigma_of_ne · cited by 0Finsupp.split_embSigma_of…Finsupp.split_embSigma_self · cited by 0Finsupp.split_embSigma_se…DFunLike.coe · cited by 62936DFunLike.coeFinsupp · cited by 5255FinsuppFinsupp.split · cited by 7Finsupp.splitFinsupp.comapDomain_apply · cited by 4Finsupp.comapDomain_applyFinsupp.split_applyCITED BYCITES

Cites4

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Cited by4

Results whose statement or proof uses this declaration.