Theorems · Theorem · ring theory
Finsupp.liftAddHom_apply_single
∀ {α : Type u_1} {M : Type u_8} {N : Type u_10} [inst : AddZeroClass M] [inst_1 : AddCommMonoid N] (f : α → M →+ N)
(a : α) (b : M), ((Finsupp.liftAddHom f) fun₀ | a => b) = (f a) b- Cited by
- 5 results in Mathlib
- Foundations
- Depth 75 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- AddZeroClassAddCommMonoid
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- AddCommMonoidstatement and proof · cited by 12,281
- Finsuppstatement · cited by 5,255
- AddMonoidHomstatement and proof · cited by 3,230
- AddZeroClassstatement and proof · cited by 1,237
- AddEquivstatement · cited by 1,087
- Finsupp.singlestatement · cited by 943
- Finsupp.sum_single_indexproof · cited by 130
- AddMonoidHom.map_zeroproof · cited by 47
- Finsupp.liftAddHomstatement · cited by 12
Cited by5
Results whose statement or proof uses this declaration.
- MonoidAlgebra.liftNC_singleproof · cited by 6
- SkewMonoidAlgebra.liftNC_singleproof · cited by 5
- AddMonoidAlgebra.liftNC_singleproof · cited by 4
- Finsupp.liftAddHom_comp_singleproof · cited by 1
- Finsupp.toFreeAbelianGroup_comp_toFinsuppproof · cited by 1