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Theorems · Theorem · ring theory

CoalgHom.id_comp

∀ {R : Type u_1} {A : Type u_2} {B : Type u_3} [inst : CommSemiring R] [inst_1 : AddCommMonoid A] [inst_2 : Module R A]
  [inst_3 : AddCommMonoid B] [inst_4 : Module R B] [inst_5 : CoalgebraStruct R A] [inst_6 : CoalgebraStruct R B]
  (φ : A →ₗc[R] B), (CoalgHom.id R B).comp φ = φ
Defined in
Mathlib.RingTheory.Coalgebra.Hom
Cited by
0 results in Mathlib
Foundations
Depth 67 from the axioms · uses propext, Quot.sound
Assumes
CommSemiringAddCommMonoidModuleAddCommMonoidModuleCoalgebraStructCoalgebraStruct
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Module · cited by 20661ModuleAddCommMonoid · cited by 12281AddCommMonoidCommSemiring · cited by 10911CommSemiringCoalgebraStruct · cited by 230CoalgebraStructCoalgHom · cited by 105CoalgHomCoalgHom.comp · cited by 12CoalgHom.compCoalgHom.id · cited by 11CoalgHom.idCoalgHom.ext · cited by 6CoalgHom.extCoalgHom.id_compCITED BYCITES

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