Theorems · Theorem · general algebraic systems
Finsupp.mapDomain_zero
∀ {α : Type u_1} {β : Type u_2} {M : Type u_5} [inst : AddCommMonoid M] {f : α → β}, Finsupp.mapDomain f 0 = 0- Defined in
- Mathlib.Data.Finsupp.Basic
- Cited by
- 15 results in Mathlib
- Foundations
- Depth 71 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- AddCommMonoid
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- AddCommMonoidstatement and proof · cited by 12,281
- Finsuppstatement · cited by 5,255
- Finsupp.mapDomainstatement · cited by 168
- Finsupp.sum_zero_indexproof · cited by 7
Cited by16
Results whose statement or proof uses this declaration.
- Finsupp.mapDomain.addMonoidHomproof · cited by 19
- MvPolynomial.rename_Cproof · cited by 6
- Finsupp.range_lmapDomainproof · cited by 1
- MvPolynomial.tensorEquivSum_C_tmul_oneproof · cited by 1
- Matrix.PosDef.submatrixproof · cited by 1
- Finsupp.toMultiset_mapproof · cited by 1
- MvPowerSeries.constantCoeff_renameproof · cited by 1
- MvPolynomial.tensorEquivSum_C_tmul_Cproof · cited by 0
- MvPolynomial.tensorEquivSum_one_tmul_Cproof · cited by 0
- MonoidAlgebra.mapDomain_zeroproof · cited by 0
- MvPolynomial.prime_rename_iffproof · cited by 0
- Finsupp.mapDomain_apply_eq_zero_iff_of_subsingletonAddUnitsproof · cited by 0