Theorems · Theorem · commutative algebra
LinearEquiv.isFiniteLength
∀ {R : Type u_1} [inst : Ring R] {M : Type u_2} {N : Type u_3} [inst_1 : AddCommGroup M] [inst_2 : Module R M]
[inst_3 : AddCommGroup N] [inst_4 : Module R N] (e : M ≃ₗ[R] N), IsFiniteLength R M → IsFiniteLength R N- Defined in
- Mathlib.RingTheory.FiniteLength
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 91 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites17
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 and proof · cited by 18,349
- AddCommGroupstatement and proof · cited by 12,871
- Ringstatement and proof · cited by 7,463
- Submoduleproof · cited by 7,192
- LinearEquivstatement and proof · cited by 3,317
- HasQuotient.Quotientproof · cited by 2,301
- LinearEquiv.symmproof · cited by 1,461
- LinearEquiv.toLinearMapproof · cited by 1,171
- Submodule.mapproof · cited by 614
- IsSimpleModuleproof · cited by 114
- LinearEquiv.toEquivproof · cited by 105
Cited by1
Results whose statement or proof uses this declaration.
- isFiniteLength_of_exists_compositionSeriesproof · cited by 3