Theorems · Theorem · ring theory
RingHom.ext_iff
∀ {α : Type u_2} {β : Type u_3} {x : NonAssocSemiring α} {x_1 : NonAssocSemiring β} {f g : α →+* β},
f = g ↔ ∀ (x_2 : α), f x_2 = g x_2- Defined in
- Mathlib.Algebra.Ring.Hom.Defs
- Cited by
- 16 results in Mathlib
- Foundations
- Depth 17 from the axioms · uses Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
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
- RingHomstatement and proof · cited by 10,189
- NonAssocSemiringstatement and proof · cited by 805
- RingHom.extproof · cited by 331
Cited by16
Results whose statement or proof uses this declaration.
- IsScalarTower.of_algebraMap_eq'proof · cited by 101
- MvPolynomial.ringHom_ext'proof · cited by 25
- RingHom.map_rat_algebraMapproof · cited by 4
- AlgebraicGeometry.stalkToFiberRingHom_germproof · cited by 3
- NumberField.InfinitePlace.LiesOver.isComplex_of_isComplex_underproof · cited by 2
- RingEquiv.toRingHom_injectiveproof · cited by 2
- Algebra.IsSeparable.iff_of_equiv_equivproof · cited by 1
- IsAlgClosure.equivOfEquiv_algebraMapproof · cited by 1
- PerfectionMap.map_mapproof · cited by 1
- PerfectionMap.mk'proof · cited by 1
- AdjoinRoot.aeval_algHom_eq_zeroproof · cited by 1
- toRingHom_injectiveproof · cited by 0