Theorems · Theorem · ring theory
RingHom.ext
∀ {α : Type u_2} {β : Type u_3} {x : NonAssocSemiring α} {x_1 : NonAssocSemiring β} ⦃f g : α →+* β⦄,
(∀ (x_2 : α), f x_2 = g x_2) → f = g- Defined in
- Mathlib.Algebra.Ring.Hom.Defs
- Cited by
- 331 results in Mathlib
- Foundations
- Depth 16 from the axioms, rests on 111 definitions · 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 · cited by 62,936
- RingHomstatement and proof · cited by 10,189
- NonAssocSemiringstatement and proof · cited by 805
- DFunLike.extproof · cited by 240
Cited by331
Results whose statement or proof uses this declaration.
- IsScalarTower.algebraMap_eqproof · cited by 110
- AlgHom.comp_algebraMapproof · cited by 63
- AlgHom.comp_algebraMap_of_towerproof · cited by 23
- Ideal.Quotient.ringHom_extproof · cited by 17
- RingHom.ext_iffproof · cited by 16
- RingHom.IsStableUnderBaseChange.mkproof · cited by 16
- RingHom.comp_idproof · cited by 12
- IsScalarTower.coe_toAlgHomproof · cited by 10
- RingHom.CodescendsAlong.mkproof · cited by 8
- RingHom.id_compproof · cited by 8
- RingHom.coe_addMonoidHom_injectiveproof · cited by 7
- iterateFrobenius_oneproof · cited by 7
Showing the 200 most cited of 331.