Theorems · Definition · commutative algebra
Nat.castAddMonoidHom
(α : Type u_3) → [inst : AddMonoidWithOne α] → ℕ →+ α
Nat.cast : ℕ → α as an AddMonoidHom.
- Defined in
- Mathlib.Data.Nat.Cast.Basic
- Cited by
- 16 results in Mathlib
- Foundations
- Depth 17 from the axioms · uses propext
- Assumes
- AddMonoidWithOne
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.
- AddMonoidHomstatement · cited by 3,230
- Nat.cast_zeroproof · cited by 1,870
- Nat.cast_addproof · cited by 586
- AddMonoidWithOnestatement and proof · cited by 313
Cited by20
Results whose statement or proof uses this declaration.
- HahnSeries.ofPowerSeriesproof · cited by 45
- Nat.cast_sumproof · cited by 38
- Nat.castRingHomproof · cited by 27
- AddSubmonoid.oneproof · cited by 6
- map_natCast'proof · cited by 4
- ProbabilityTheory.poissonMeasure_conv_poissonMeasureproof · cited by 2
- Nat.coe_castAddMonoidHomstatement · cited by 2
- Even.natCastproof · cited by 2
- Nat.cast_multiset_sumproof · cited by 2
- HahnSeries.ofPowerSeriesAlgproof · cited by 1
- Nat.cast_list_sumproof · cited by 1
- ProbabilityTheory.map_cast_poissonMeasure_convproof · cited by 1