Theorems · Theorem · linear algebra
Module.Free.trans
∀ {R : Type u_1} {S : Type u_2} {M : Type u_3} [inst : CommSemiring R] [inst_1 : Semiring S] [inst_2 : Algebra R S]
[inst_3 : AddCommMonoid M] [inst_4 : Module R M] [inst_5 : Module S M] [IsScalarTower R S M] [Module.Free S M]
[Module.Free R S], Module.Free R M- Cited by
- 2 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.
Cites18
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.idproof · cited by 18,349
- Semiringstatement and proof · cited by 13,802
- AddCommMonoidstatement and proof · cited by 12,281
- Algebrastatement and proof · cited by 11,388
- CommSemiringstatement and proof · cited by 10,911
- Finsuppproof · cited by 5,255
- IsScalarTowerstatement and proof · cited by 3,896
- LinearEquivproof · cited by 3,317
- LinearEquiv.symmproof · cited by 1,461
- Module.Freestatement and proof · cited by 597
- Module.Basis.reprproof · cited by 498
Cited by2
Results whose statement or proof uses this declaration.
- Polynomial.Monic.exists_splits_mapproof · cited by 2
- Module.Finite.exists_free_surjectiveproof · cited by 1