Theorems · Theorem · ring theory
Set.natCast_mem_center
∀ (M : Type u_1) [inst : NonAssocSemiring M] (n : ℕ), ↑n ∈ Set.center M
- Defined in
- Mathlib.Algebra.Ring.Center
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 13 from the axioms · uses propext
- Assumes
- NonAssocSemiring
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites13
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement · cited by 53,352
- mul_oneproof · cited by 3,885
- one_mulproof · cited by 2,841
- MulZeroClass.mul_zeroproof · cited by 2,091
- Nat.cast_zeroproof · cited by 1,870
- MulZeroClass.zero_mulproof · cited by 1,625
- NonAssocSemiringstatement and proof · cited by 805
- mul_addproof · cited by 413
- add_mulproof · cited by 363
- Nat.cast_succproof · cited by 99
- Set.centerstatement · cited by 49
- commute_iff_eqproof · cited by 20
Cited by2
Results whose statement or proof uses this declaration.
- Set.intCast_mem_centerproof · cited by 0
- Set.ofNat_mem_centerproof · cited by 0