Theorems · Theorem · ring theory
RingHom.id_comp
∀ {α : Type u_2} {β : Type u_3} {x : NonAssocSemiring α} {x_1 : NonAssocSemiring β} (f : α →+* β),
(RingHom.id β).comp f = f- Defined in
- Mathlib.Algebra.Ring.Hom.Defs
- Cited by
- 8 results in Mathlib
- Foundations
- Depth 19 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- RingHom.idstatement · cited by 18,349
- RingHomstatement and proof · cited by 10,189
- RingHom.compstatement · cited by 899
- NonAssocSemiringstatement and proof · cited by 805
- RingHom.extproof · cited by 331
Cited by8
Results whose statement or proof uses this declaration.
- Subalgebra.range_algebraMapproof · cited by 3
- ZMod.ringHom_eq_of_ker_eqproof · cited by 1
- Subalgebra.rangeS_algebraMapproof · cited by 1
- WittVector.toPadicInt_comp_fromPadicIntproof · cited by 1
- WittVector.fromPadicInt_comp_toPadicIntproof · cited by 1
- MvPolynomial.join₂_mapproof · cited by 1
- Polynomial.aeval_sumIDeriv_eq_evalproof · cited by 1
- Polynomial.aeval_eq_aeval_mapproof · cited by 0