Theorems · Theorem · ring theory
CoalgHom.ext_of_ring
∀ {R : Type u_1} {A : Type u_2} [inst : CommSemiring R] [inst_1 : AddCommMonoid A] [inst_2 : Module R A]
[inst_3 : CoalgebraStruct R A] {f g : R →ₗc[R] A}, f 1 = g 1 → f = g- Defined in
- Mathlib.RingTheory.Coalgebra.Hom
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 72 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
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
- Modulestatement and proof · cited by 20,661
- AddCommMonoidstatement and proof · cited by 12,281
- CommSemiringstatement and proof · cited by 10,911
- CoalgebraStructstatement and proof · cited by 230
- LinearMap.ext_ringproof · cited by 152
- CoalgHomstatement and proof · cited by 105
- CoalgHom.coe_linearMap_injectiveproof · cited by 3
Cited by1
Results whose statement or proof uses this declaration.
- CoalgHom.ext_of_ring_iffproof · cited by 0