Theorems · Theorem · linear algebra
Submodule.toBaseChange_surjective
∀ {R : Type u_1} {M : Type u_2} (A : Type u_3) [inst : CommSemiring R] [inst_1 : Semiring A] [inst_2 : Algebra R A]
[inst_3 : AddCommMonoid M] [inst_4 : Module R M] (p : Submodule R M),
Function.Surjective ⇑(Submodule.toBaseChange A p)- Cited by
- 2 results in Mathlib
- Foundations
- Depth 70 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites15
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- Modulestatement and proof · cited by 20,661
- RingHom.idstatement · 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
- LinearMapstatement · cited by 10,215
- Submodulestatement and proof · cited by 7,192
- TensorProductstatement · cited by 2,545
- Submodule.subtypeproof · cited by 480
- LinearMap.baseChangeproof · cited by 62
Cited by2
Results whose statement or proof uses this declaration.
- DirectSum.toBaseChange_bijectiveproof · cited by 1
- Submodule.toBaseChange_surjective'proof · cited by 0