Theorems · Theorem · ring theory
SkewMonoidAlgebra.natCast_def
∀ {k : Type u_1} {G : Type u_2} [inst : One G] [inst_1 : AddMonoidWithOne k] (n : ℕ), ↑n = SkewMonoidAlgebra.single 1 ↑n- Defined in
- Mathlib.Algebra.SkewMonoidAlgebra.Basic
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 73 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- OneAddMonoidWithOne
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Nat.cast_oneproof · cited by 2,501
- Nat.cast_zeroproof · cited by 1,870
- Nat.cast_addproof · cited by 586
- AddMonoidWithOnestatement and proof · cited by 313
- SkewMonoidAlgebrastatement · cited by 216
- SkewMonoidAlgebra.singlestatement and proof · cited by 83
- SkewMonoidAlgebra.single_zeroproof · cited by 8
- SkewMonoidAlgebra.single_addproof · cited by 5
Cited by1
Results whose statement or proof uses this declaration.
- SkewMonoidAlgebra.single_natproof · cited by 1