Theorems · Definition · ring theory
RingHom.id
(α : Type u_5) → [inst : NonAssocSemiring α] → α →+* α
The identity ring homomorphism from a semiring to itself.
- Defined in
- Mathlib.Algebra.Ring.Hom.Defs
- Cited by
- 18,349 results in Mathlib
- Foundations
- Depth 12 from the axioms, rests on 98 definitions · uses no axioms
- Assumes
- NonAssocSemiring
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites2
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- RingHomstatement · cited by 10,189
- NonAssocSemiringstatement and proof · cited by 805
Cited by21,578
Results whose statement or proof uses this declaration.
- Polynomial.Cproof · cited by 1,598
- Polynomial.evalproof · cited by 796
- Module.Endproof · cited by 774
- LinearMap.idstatement · cited by 625
- DifferentiableAtproof · cited by 617
- Module.Dualproof · cited by 583
- Module.Basis.reprstatement · cited by 498
- Submodule.subtypestatement · cited by 480
- StrongDualproof · cited by 459
- DifferentiableWithinAtproof · cited by 453
- fderivstatement · cited by 398
- Representationproof · cited by 396
Showing the 200 most cited of 21,578.