Theorems · Theorem · general algebraic systems
Finsupp.optionElim_apply_eq_elim
∀ {α : Type u_1} {M : Type u_2} [inst : Zero M] (y : M) (f : α →₀ M) (a : Option α),
(Finsupp.optionElim y f) a = a.elim y ⇑f- Defined in
- Mathlib.Data.Finsupp.Option
- Cited by
- 11 results in Mathlib
- Foundations
- Depth 76 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.
Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- Finsuppstatement and proof · cited by 5,255
- Finsupp.optionElimstatement · cited by 16
- Finsupp.optionElim_apply_noneproof · cited by 3
- Finsupp.optionElim_apply_someproof · cited by 1
Cited by11
Results whose statement or proof uses this declaration.
- Finsupp.some_optionElimproof · cited by 3
- MvPolynomial.support_optionEquivLeftproof · cited by 1
- Finsupp.optionElim_ne_zero_of_leftproof · cited by 1
- Finsupp.optionElim_ne_zero_of_rightproof · cited by 1
- Finsupp.optionElim_zeroproof · cited by 1
- MvPolynomial.mem_support_coeff_optionEquivLeftproof · cited by 0
- MvPolynomial.optionEquivLeft_coeff_coeffproof · cited by 0
- MvPowerSeries.optionEquivLeft_X_someproof · cited by 0
- Finsupp.optionElim_addproof · cited by 0
- Finsupp.optionElim_eq_elim'proof · cited by 0
- Finsupp.optionElim_someproof · cited by 0