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Theorems · Theorem · general algebraic systems

Finsupp.optionEquiv_symm_apply

∀ {α : Type u_1} {M : Type u_2} [inst : Zero M] (P : M × (α →₀ M)),
  Finsupp.optionEquiv.symm P = (Finsupp.embDomain Function.Embedding.some P.2).update none P.1
Defined in
Mathlib.Data.Finsupp.Option
Cited by
2 results in Mathlib
Foundations
Depth 74 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
Zero
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Around this declaration

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

Finsupp.optionElim_apply_none · cited by 3Finsupp.optionElim_apply_…Finsupp.optionElim_apply_some · cited by 1Finsupp.optionElim_apply_…DFunLike.coe · cited by 62936DFunLike.coeEquiv · cited by 8337EquivFinsupp · cited by 5255FinsuppEquiv.symm · cited by 3681Equiv.symmFinsupp.embDomain · cited by 69Finsupp.embDomainFinsupp.update · cited by 52Finsupp.updateFunction.Embedding.some · cited by 43Embedding.someFinsupp.optionEquiv · cited by 3Finsupp.optionEquivFinsupp.optionEquiv_symm_applyCITED BYCITES

Cites8

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

Cited by2

Results whose statement or proof uses this declaration.