Theorems · Theorem · general algebraic systems
Finsupp.sumElim_single_zero
∀ {α : Type u_1} {β : Type u_2} {γ : Type u_3} [inst : Zero γ] (a : α) (c : γ),
(fun₀ | a => c).sumElim 0 = fun₀ | Sum.inl a => c- Defined in
- Mathlib.Data.Finsupp.Basic
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 63 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.
Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Finsuppstatement · cited by 5,255
- Finsupp.singlestatement · cited by 943
- Finsupp.extproof · cited by 399
- Finsupp.single_applyproof · cited by 99
- Finsupp.single_eq_of_neproof · cited by 61
- Finsupp.sumElimstatement · cited by 25
Cited by2
Results whose statement or proof uses this declaration.
- MvPolynomial.tensorEquivSum_one_tmul_Xproof · cited by 3
- MvPolynomial.sumAlgEquiv_symm_Xproof · cited by 1