Theorems · Definition · general algebraic systems
Finsupp.embSigma
{κ : Type u_1} → {ι : κ → Type u_2} → {M : Type u_3} → [inst : Zero M] → {k : κ} → (ι k →₀ M) → (k : κ) × ι k →₀ MEmbed a finitely supported function f : ι k →₀ M into the k-th summand
of the sigma type (Σ k, ι k) →₀ M.
This is Finsupp.embDomain specialized to Function.Embedding.sigmaMk k.
- Defined in
- Mathlib.Data.Finsupp.Sigma
- Cited by
- 12 results in Mathlib
- Foundations
- Depth 63 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Zero
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites3
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Finsuppstatement and proof · cited by 5,255
- Finsupp.embDomainproof · cited by 69
- Function.Embedding.sigmaMkproof · cited by 25
Cited by12
Results whose statement or proof uses this declaration.
- Finsupp.embSigma_apply_selfstatement · cited by 3
- Finsupp.embSigma_apply_of_nestatement · cited by 2
- Finsupp.embSigma_injectivestatement and proof · cited by 1
- Finsupp.embSigma_addstatement · cited by 0
- Finsupp.embSigma_applystatement and proof · cited by 0
- Finsupp.embSigma_eq_zerostatement · cited by 0
- Finsupp.embSigma_injstatement · cited by 0
- Finsupp.embSigma_singlestatement · cited by 0
- Finsupp.embSigma_zerostatement · cited by 0
- Finsupp.split_embSigma_of_nestatement and proof · cited by 0
- Finsupp.split_embSigma_selfstatement and proof · cited by 0
- Finsupp.support_embSigmastatement · cited by 0