Theorems · Theorem · general algebraic systems
Finsupp.eq_option_embedding_update_none_iff
∀ {α : Type u_1} {M : Type u_2} [inst : Zero M] {n : Option α →₀ M} {m : α →₀ M} {i : M},
n = (Finsupp.embDomain Function.Embedding.some m).update none i ↔ n none = i ∧ n.some = m- Defined in
- Mathlib.Data.Finsupp.Option
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 74 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.
Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- Finsuppstatement and proof · cited by 5,255
- Equiv.eq_symm_applyproof · cited by 85
- Finsupp.embDomainstatement · cited by 69
- Finsupp.updatestatement · cited by 52
- Function.Embedding.somestatement · cited by 43
- Finsupp.somestatement · cited by 24
- Finsupp.optionEquivproof · cited by 3
Cited by1
Results whose statement or proof uses this declaration.
- MvPolynomial.eq_zero_of_eval_zero_at_prod_finsetproof · cited by 1