Theorems · Theorem · linear algebra
Submodule.comm_trans_rTensorOne
∀ {R : Type u} {S : Type v} [inst : CommSemiring R] [inst_1 : Semiring S] [inst_2 : Algebra R S] (M : Submodule R S),
TensorProduct.comm R ↥⊥ ↥M ≪≫ₗ M.rTensorOne = M.lTensorOne- Cited by
- 1 results in Mathlib
- Foundations
- Depth 83 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CommSemiringSemiringAlgebra
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites23
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- RingHom.idstatement · cited by 18,349
- Semiringstatement and proof · cited by 13,802
- Algebrastatement and proof · cited by 11,388
- CommSemiringstatement and proof · cited by 10,911
- Submodulestatement and proof · cited by 7,192
- Bot.botstatement and proof · cited by 4,720
- Algebra.algebraMapproof · cited by 4,706
- LinearEquivstatement · cited by 3,317
- TensorProductstatement · cited by 2,545
- Subalgebrastatement · cited by 1,353
- TensorProduct.tmulproof · cited by 1,182
Cited by1
Results whose statement or proof uses this declaration.
- Subalgebra.comm_trans_rTensorBotproof · cited by 0