Theorems · Theorem · ring theory
CoalgEquiv.coe_symm_toEquiv
∀ {R : Type u_1} {A : Type u_2} {B : Type u_3} [inst : CommSemiring R] [inst_1 : AddCommMonoid A]
[inst_2 : AddCommMonoid B] [inst_3 : Module R A] [inst_4 : Module R B] [inst_5 : CoalgebraStruct R A]
[inst_6 : CoalgebraStruct R B] (e : A ≃ₗc[R] B), ⇑e.toEquiv.symm = ⇑e.symm- Defined in
- Mathlib.RingTheory.Coalgebra.Equiv
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 73 from the axioms · uses propext, Quot.sound
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Cites10
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · 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
- Equivstatement · cited by 8,337
- Equiv.symmstatement · cited by 3,681
- CoalgebraStructstatement and proof · cited by 230
- CoalgEquivstatement and proof · cited by 77
- CoalgEquiv.symmstatement · cited by 26
- CoalgEquiv.toEquivstatement · cited by 6
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