Theorems · Theorem · ring theory
RingHom.coe_coe
∀ {α : Type u_2} {β : Type u_3} {x : NonAssocSemiring α} {x_1 : NonAssocSemiring β} {F : Type u_5}
[inst : FunLike F α β] [inst_1 : RingHomClass F α β] (f : F), ⇑↑f = ⇑f- Defined in
- Mathlib.Algebra.Ring.Hom.Defs
- Cited by
- 51 results in Mathlib
- Foundations
- Depth 16 from the axioms · uses no axioms
- Assumes
- FunLikeRingHomClass
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- RingHomstatement · cited by 10,189
- FunLikestatement and proof · cited by 2,560
- NonAssocSemiringstatement and proof · cited by 805
- RingHomClass.toRingHomstatement · cited by 746
- RingHomClassstatement and proof · cited by 193
Cited by51
Results whose statement or proof uses this declaration.
- MvPolynomial.finSuccEquiv_applyproof · cited by 7
- Algebra.FiniteType.isNoetherianRingproof · cited by 6
- MvPowerSeries.comp_aevalproof · cited by 3
- LinearMap.det_restrictScalarsproof · cited by 2
- AlgebraicIndependent.ringHom_of_comp_eqproof · cited by 1
- LinearMap.polyCharpoly_coeff_eq_zero_of_basisproof · cited by 1
- eval₂_minpolyDiv_selfproof · cited by 1
- Algebra.Generators.H1Cotangent.liftBaseChange_range_leproof · cited by 1
- WeierstrassCurve.Affine.baseChange_nonsingularproof · cited by 1
- AlgebraicIndependent.mvPolynomialOptionEquivPolynomialAdjoin_X_someproof · cited by 1
- WeierstrassCurve.Projective.baseChange_equationproof · cited by 0