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Theorems · Theorem · order theory

NeZero.nat_of_injective

∀ {R : Type u_2} {S : Type u_3} {F : Type u_4} [inst : NonAssocSemiring R] [inst_1 : NonAssocSemiring S]
  [inst_2 : FunLike F R S] {n : ℕ} [NeZero ↑n] [RingHomClass F R S] {f : F}, Function.Injective ⇑f → NeZero ↑n
Defined in
Mathlib.Data.Nat.Cast.Order.Basic
Cited by
2 results in Mathlib
Foundations
Depth 22 from the axioms · uses propext, Quot.sound
Assumes
NonAssocSemiringNonAssocSemiringFunLikeNeZeroRingHomClass
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

Polynomial.isRoot_cyclotomic_iff · cited by 12Polynomial.isRoot_cycloto…NeZero.of_faithfulSMul · cited by 2NeZero.of_faithfulSMulDFunLike.coe · cited by 62936DFunLike.coeFunLike · cited by 2560FunLikemap_zero · cited by 1614map_zeroNonAssocSemiring · cited by 805NonAssocSemiringRingHomClass · cited by 193RingHomClassmap_natCast · cited by 134map_natCastNeZero.natCast_ne · cited by 3NeZero.natCast_neNeZero.nat_of_injectiveCITED BYCITES

Cites7

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Cited by2

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