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Theorems · Theorem · ring theory

CoalgHom.coe_fn_injective

∀ {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],
  Function.Injective DFunLike.coe
Defined in
Mathlib.RingTheory.Coalgebra.Hom
Cited by
1 results in Mathlib
Foundations
Depth 64 from the axioms · uses propext, Quot.sound
Assumes
CommSemiringAddCommMonoidModuleAddCommMonoidModuleCoalgebraStructCoalgebraStruct
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

CoalgHom.coe_linearMap_injective · cited by 3CoalgHom.coe_linearMap_in…DFunLike.coe · cited by 62936DFunLike.coeModule · cited by 20661ModuleAddCommMonoid · cited by 12281AddCommMonoidCommSemiring · cited by 10911CommSemiringCoalgebraStruct · cited by 230CoalgebraStructDFunLike.coe_injective · cited by 161DFunLike.coe_injectiveCoalgHom · cited by 105CoalgHomCoalgHom.coe_fn_injectiveCITED BYCITES

Cites7

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Cited by1

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