Mathlib Map

Theorems · Definition · order theory

RingHom.ENatMap

{S : Type u_2} →
  [inst : CommSemiring S] →
    [inst_1 : PartialOrder S] →
      [inst_2 : CanonicallyOrderedAdd S] →
        [inst_3 : DecidableEq S] → [inst_4 : Nontrivial S] → (f : ℕ →+* S) → Function.Injective ⇑f → ℕ∞ →+* WithTop S

A version of ENat.map for RingHoms.

Defined in
Mathlib.Data.ENat.Basic
Cited by
1 results in Mathlib
Foundations
Depth 37 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
CommSemiringPartialOrderCanonicallyOrderedAddDecidableEqNontrivial
Mathlib docsSourceLoogleLeanSearch

Around this declaration

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

ENat.toENNRealRingHom · cited by 6ENat.toENNRealRingHomRingHom.ENatMap_apply · cited by 0RingHom.ENatMap_applyDFunLike.coe · cited by 62936DFunLike.coeCommSemiring · cited by 10911CommSemiringRingHom · cited by 10189RingHomPartialOrder · cited by 6410PartialOrderENat · cited by 4985ENatWithTop · cited by 3754WithTopAddMonoidHom · cited by 3230AddMonoidHomNontrivial · cited by 2416NontrivialMonoidWithZeroHom · cited by 704MonoidWithZeroHomCanonicallyOrderedAdd · cited by 229CanonicallyOrderedAddZeroHom.toFun · cited by 101ZeroHom.toFunMonoidWithZeroHom.toZeroHom · cited by 35MonoidWithZeroHom.toZeroH…RingHom.toMonoidWithZeroHom · cited by 24RingHom.toMonoidWithZeroH…RingHom.toAddMonoidHom · cited by 17RingHom.toAddMonoidHomMonoidWithZeroHom.ENatMap · cited by 3MonoidWithZeroHom.ENatMapRingHom.ENatMapCITED BYCITES

Cites16

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by2

Results whose statement or proof uses this declaration.