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Theorems · Theorem · general algebraic systems

Finsupp.support_embDomain

∀ {α : Type u_1} {β : Type u_2} {M : Type u_4} [inst : Zero M] (f : α ↪ β) (v : α →₀ M),
  (Finsupp.embDomain f v).support = Finset.map f v.support
Defined in
Mathlib.Data.Finsupp.Defs
Cited by
3 results in Mathlib
Foundations
Depth 63 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.

Finsupp.sum_embDomain · cited by 6Finsupp.sum_embDomainFinsupp.prod_embDomain · cited by 1Finsupp.prod_embDomainFinsupp.single_of_embDomain_single · cited by 1Finsupp.single_of_embDoma…Finset · cited by 13712FinsetFinsupp · cited by 5255FinsuppFunction.Embedding · cited by 988Function.EmbeddingFinsupp.support · cited by 828Finsupp.supportFinset.map · cited by 747Finset.mapFinsupp.embDomain · cited by 69Finsupp.embDomainFinsupp.support_embDomainCITED BYCITES

Cites6

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by3

Results whose statement or proof uses this declaration.