Theorems · Theorem · commutative algebra
Int.cast_commute
∀ {α : Type u_3} [inst : NonAssocRing α] (n : ℤ) (a : α), Commute (↑n) a- Defined in
- Mathlib.Data.Int.Cast.Lemmas
- Cited by
- 7 results in Mathlib
- Foundations
- Depth 16 from the axioms · uses propext
- Assumes
- NonAssocRing
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Commutestatement and proof · cited by 639
- NonAssocRingstatement and proof · cited by 483
- Int.cast_natCastproof · cited by 393
- Int.cast_negSuccproof · cited by 32
- Nat.cast_commuteproof · cited by 24
Cited by7
Results whose statement or proof uses this declaration.
- Rat.cast_powproof · cited by 7
- Int.commute_castproof · cited by 5
- Rat.cast_commuteproof · cited by 2
- zsmul_eq_mul'proof · cited by 2
- Commute.intCast_leftproof · cited by 1
- SemiconjBy.intCast_mul_leftproof · cited by 0
- Int.cast_commproof · cited by 0