Theorems · Theorem · ring theory
NonUnitalRingHom.ext
∀ {α : Type u_2} {β : Type u_3} [inst : NonUnitalNonAssocSemiring α] [inst_1 : NonUnitalNonAssocSemiring β]
⦃f g : α →ₙ+* β⦄, (∀ (x : α), f x = g x) → f = g- Defined in
- Mathlib.Algebra.Ring.Hom.Defs
- Cited by
- 21 results in Mathlib
- Foundations
- Depth 11 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 · cited by 62,936
- NonUnitalNonAssocSemiringstatement and proof · cited by 1,081
- DFunLike.extproof · cited by 240
- NonUnitalRingHomstatement and proof · cited by 157
Cited by21
Results whose statement or proof uses this declaration.
- NonUnitalRingHom.ext_iffproof · cited by 3
- NonUnitalRingHom.eq_of_eqOn_set_topproof · cited by 1
- DirectLimit.NonUnitalRing.hom_extproof · cited by 1
- RingEquiv.symm_toNonUnitalRingHom_comp_toNonUnitalRingHomproof · cited by 1
- NonUnitalRingHom.prod_uniqueproof · cited by 0
- NonUnitalRingHom.comp_idproof · cited by 0
- NonUnitalRingHom.comp_zeroproof · cited by 0
- AddMonoidAlgebra.mapDomainNonUnitalRingHom_compproof · cited by 0
- AddMonoidAlgebra.mapDomainNonUnitalRingHom_idproof · cited by 0
- NonUnitalRingHom.snd_comp_prodproof · cited by 0
- RingEquiv.ofBijective_symm_compproof · cited by 0
- NonUnitalRingHom.zero_compproof · cited by 0