Theorems · Theorem · commutative algebra
IsBaseChange.linearMap
∀ (R : Type u_1) (S : Type v₃) [inst : CommSemiring R] [inst_1 : CommSemiring S] [inst_2 : Algebra R S], IsBaseChange S (Algebra.linearMap R S)
- Defined in
- Mathlib.RingTheory.IsTensorProduct
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 74 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Algebrastatement and proof · cited by 11,388
- CommSemiringstatement and proof · cited by 10,911
- Algebra.linearMapstatement · cited by 157
- Algebra.algebraMap_eq_smul_oneproof · cited by 119
- IsBaseChangestatement · cited by 87
- TensorProduct.AlgebraTensorModule.ridproof · cited by 28
- IsBaseChange.of_equivproof · cited by 17
Cited by4
Results whose statement or proof uses this declaration.
- Algebra.IsPushout.tensorProduct_tensorProductproof · cited by 1
- IsSMulRegular.of_flatproof · cited by 0
- RingTheory.Sequence.IsRegular.of_faithfullyFlatproof · cited by 0
- RingTheory.Sequence.IsWeaklyRegular.of_flatproof · cited by 0