Theorems · Definition · general algebraic systems
Finsupp.optionElim
{α : Type u_1} → {M : Type u_2} → [inst : Zero M] → M → (α →₀ M) → Option α →₀ MExtend a finitely supported function on α to a finitely supported function on Option α,
provided a default value for none.
- Defined in
- Mathlib.Data.Finsupp.Option
- Cited by
- 16 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.
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
- Equiv.invFunproof · cited by 163
- Finsupp.optionEquivproof · cited by 3
Cited by16
Results whose statement or proof uses this declaration.
- Finsupp.optionElim_apply_eq_elimstatement · cited by 11
- Finsupp.some_optionElimstatement · cited by 3
- Finsupp.optionElim_apply_nonestatement · cited by 3
- MvPowerSeries.coeff_coeff_optionEquivLeftstatement · cited by 1
- MvPolynomial.support_optionEquivLeftproof · cited by 1
- Finsupp.optionElim_apply_somestatement · cited by 1
- Finsupp.optionElim_ne_zero_of_leftstatement and proof · cited by 1
- Finsupp.optionElim_ne_zero_of_rightstatement and proof · cited by 1
- Finsupp.optionElim_zerostatement · cited by 1
- MvPolynomial.mem_support_coeff_optionEquivLeftstatement and proof · cited by 0
- MvPowerSeries.optionEquivLeft_X_someproof · cited by 0
- MvPolynomial.optionEquivLeft_coeff_coeffstatement and proof · cited by 0