Theorems · Theorem · general algebraic systems
Finsupp.single_eq_zero
∀ {α : Type u_1} {M : Type u_5} [inst : Zero M] {a : α} {b : M}, (fun₀ | a => b) = 0 ↔ b = 0- Defined in
- Mathlib.Data.Finsupp.Single
- Cited by
- 7 results in Mathlib
- Foundations
- Depth 61 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 · cited by 5,255
- Finsupp.singlestatement · cited by 943
- Finsupp.single_applyproof · cited by 99
Cited by7
Results whose statement or proof uses this declaration.
- MvPowerSeries.coeff_zero_Xproof · cited by 3
- constantCoeff_wittPolynomialproof · cited by 3
- AddMonoidAlgebra.single_eq_zeroproof · cited by 2
- MvPolynomial.coeff_zero_Xproof · cited by 1
- Finsupp.single_ne_zeroproof · cited by 1
- Finsupp.disjoint_supported_supported_iffproof · cited by 0
- Submodule.exists_of_finrank_ltproof · cited by 0