Theorems · Theorem · order theory
RingHom.ENatMap_apply
∀ {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) (hf : Function.Injective ⇑f),
⇑(f.ENatMap hf) = (↑(f.toMonoidWithZeroHom.ENatMap hf)).toFun- Defined in
- Mathlib.Data.ENat.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 38 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
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Cites13
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- CommSemiringstatement and proof · cited by 10,911
- RingHomstatement and proof · cited by 10,189
- PartialOrderstatement and proof · cited by 6,410
- ENatstatement · cited by 4,985
- WithTopstatement · cited by 3,754
- Nontrivialstatement and proof · cited by 2,416
- CanonicallyOrderedAddstatement and proof · cited by 229
- ZeroHom.toFunstatement · cited by 101
- MonoidWithZeroHom.toZeroHomstatement · cited by 35
- RingHom.toMonoidWithZeroHomstatement · cited by 24
- MonoidWithZeroHom.ENatMapstatement · cited by 3
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