Theorems · Theorem · commutative algebra
Module.IsStablyFree.equiv
∀ {R : Type u} [inst : Ring R] {M : Type v} [inst_1 : AddCommGroup M] [inst_2 : Module R M] {N : Type w}
[inst_3 : AddCommGroup N] [inst_4 : Module R N] (e : M ≃ₗ[R] N) [Module.IsStablyFree R M], Module.IsStablyFree R N- Defined in
- Mathlib.Algebra.Module.StablyFree.Basic
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 89 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.
- 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
- LinearEquivstatement and proof · cited by 3,317
- Module.Finiteproof · cited by 1,032
- Module.Freeproof · cited by 597
- LinearEquiv.reflproof · cited by 143
- Module.Free.of_equivproof · cited by 23
- LinearEquiv.prodCongrproof · cited by 15
- Module.IsStablyFreestatement and proof · cited by 8
- Module.IsStablyFree.exist_free_prodproof · cited by 2
Cited by3
Results whose statement or proof uses this declaration.
- Module.IsStablyFree.equiv_iffproof · cited by 0
- Module.IsStablyFree.of_shrinkproof · cited by 0
- Module.IsStablyFree.of_uliftproof · cited by 0