Theorems · Theorem · linear algebra
Submodule.baseChange_top
∀ {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], Submodule.baseChange A ⊤ = ⊤- Cited by
- 5 results in Mathlib
- Foundations
- Depth 64 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
- 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
- Top.topstatement and proof · cited by 9,680
- SetLike.coeproof · cited by 8,199
- Submodulestatement and proof · cited by 7,192
- Set.ofPredproof · cited by 6,101
- TensorProductstatement and proof · cited by 2,545
- TensorProduct.tmulproof · cited by 1,182
- eq_top_iffproof · cited by 236
Cited by5
Results whose statement or proof uses this declaration.
- LieSubmodule.baseChange_topproof · cited by 3
- TensorProduct.spanFinrank_top_le_of_fgproof · cited by 1
- IsLocalRing.length_baseChangeproof · cited by 1
- Algebra.TensorProduct.adjoin_one_tmul_image_eq_topproof · cited by 0
- TensorProduct.spanRank_top_leproof · cited by 0