Theorems · Theorem · ring theory
Module.Baer.of_equiv
∀ {R : Type u} [inst : Ring R] {Q : Type v} [inst_1 : AddCommGroup Q] [inst_2 : Module R Q] {M : Type u_1}
[inst_3 : AddCommGroup M] [inst_4 : Module R M] (e : Q ≃ₗ[R] M), Module.Baer R Q → Module.Baer R M- Defined in
- Mathlib.Algebra.Module.Injective
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 29 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites12
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- Modulestatement and proof · cited by 20,661
- RingHom.idstatement and proof · cited by 18,349
- AddCommGroupstatement and proof · cited by 12,871
- LinearMapproof · cited by 10,215
- Ringstatement and proof · cited by 7,463
- Idealproof · cited by 4,748
- LinearEquivstatement and proof · cited by 3,317
- LinearMap.compproof · cited by 1,642
- LinearEquiv.symmproof · cited by 1,461
- LinearEquiv.toLinearMapproof · cited by 1,171
- Module.Baerstatement and proof · cited by 20
Cited by2
Results whose statement or proof uses this declaration.
- ModuleCat.hasInjectiveDimensionLE_iff_forall_maximalSpectrumproof · cited by 2
- Module.Baer.congrproof · cited by 1