Theorems · Theorem · ring theory
CoalgEquiv.coe_ofBijective
∀ {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] {f : A →ₗc[R] B} (hf : Function.Bijective ⇑f), ⇑(CoalgEquiv.ofBijective hf) = ⇑f- Defined in
- Mathlib.RingTheory.Coalgebra.Equiv
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 70 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites9
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
- Function.Bijectivestatement and proof · cited by 863
- CoalgebraStructstatement and proof · cited by 230
- CoalgHomstatement and proof · cited by 105
- CoalgEquivstatement · cited by 77
- CoalgEquiv.ofBijectivestatement · cited by 2
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