Theorems · Definition · commutative algebra
Nat.castEmbedding
{R : Type u_2} → [inst : AddMonoidWithOne R] → [CharZero R] → ℕ ↪ RNat.cast as an embedding into monoids of characteristic 0.
- Defined in
- Mathlib.Algebra.Ring.CharZero
- Cited by
- 29 results in Mathlib
- Foundations
- Depth 5 from the axioms · uses no axioms
- Assumes
- AddMonoidWithOneCharZero
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.
- Function.Embeddingstatement · cited by 988
- CharZerostatement and proof · cited by 932
- AddMonoidWithOnestatement and proof · cited by 313
- Nat.cast_injectiveproof · cited by 39
Cited by31
Results whose statement or proof uses this declaration.
- Int.divisorsAntidiagproof · cited by 17
- Int.divisorsproof · cited by 14
- Nat.castEmbedding_applystatement and proof · cited by 9
- Int.card_Iccproof · cited by 6
- Int.card_Icoproof · cited by 6
- Int.card_Iocproof · cited by 5
- Int.radical_natAbs_eq_radicalproof · cited by 3
- nivenproof · cited by 2
- Int.card_Iooproof · cited by 2
- LaurentPolynomial.support_coeff_toLaurentstatement and proof · cited by 1
- UniqueFactorizationMonoid.primeFactors_eq_primeFactors_natAbsstatement and proof · cited by 1