Theorems · Theorem · ring theory
CoalgEquiv.left_inv
∀ {R : Type u_5} [inst : CommSemiring R] {A : Type u_6} {B : Type u_7} [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] (self : A ≃ₗc[R] B), Function.LeftInverse self.invFun self.toFun- Defined in
- Mathlib.RingTheory.Coalgebra.Equiv
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 14 from the axioms · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites11
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Modulestatement and proof · cited by 20,661
- RingHom.idstatement · cited by 18,349
- AddCommMonoidstatement and proof · cited by 12,281
- CommSemiringstatement and proof · cited by 10,911
- CoalgebraStructstatement and proof · cited by 230
- AddHom.toFunstatement · cited by 168
- LinearMap.toAddHomstatement · cited by 165
- CoalgEquivstatement and proof · cited by 77
- CoalgHom.toLinearMapstatement · cited by 36
- CoalgEquiv.toCoalgHomstatement · cited by 11
- CoalgEquiv.invFunstatement · cited by 4
Cited by2
Results whose statement or proof uses this declaration.
- CoalgEquiv.toLinearEquivproof · cited by 13
- BialgEquiv.toMulEquivproof · cited by 0