Theorems · Theorem · ring theory
CoalgHom.copy.congr_simp
∀ {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]
(f f_1 : A →ₗc[R] B) (e_f : f = f_1) (f' f'_1 : A → B) (e_f' : f' = f'_1) (h : f' = ⇑f), f.copy f' h = f_1.copy f'_1 ⋯- Defined in
- Mathlib.RingTheory.Bialgebra.Hom
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 67 from the axioms · uses propext, Quot.sound
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Cites7
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
- CoalgHomstatement and proof · cited by 105
- CoalgHom.copystatement and proof · cited by 5
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