Theorems · Theorem · commutative algebra
RingHom.injective_nat
∀ {R : Type u_2} [inst : NonAssocSemiring R] (f : ℕ →+* R) [CharZero R], Function.Injective ⇑f- Defined in
- Mathlib.Algebra.Ring.CharZero
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 26 from the axioms · uses propext, Quot.sound
- Assumes
- NonAssocSemiringCharZero
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Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- RingHomstatement and proof · cited by 10,189
- CharZerostatement and proof · cited by 932
- NonAssocSemiringstatement and proof · cited by 805
- Nat.cast_injectiveproof · cited by 39
- Nat.castRingHomproof · cited by 27
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