Theorems · Theorem · commutative algebra
IsBaseChange.comp_equiv
∀ {R : Type u_1} {M : Type v₁} {N : Type v₂} {S : Type v₃} [inst : AddCommMonoid M] [inst_1 : AddCommMonoid N]
[inst_2 : CommSemiring R] [inst_3 : CommSemiring S] [inst_4 : Algebra R S] [inst_5 : Module R M] [inst_6 : Module R N]
[inst_7 : Module S N] [inst_8 : IsScalarTower R S N] {P : Type u_2} [inst_9 : AddCommMonoid P] [inst_10 : Module R P]
(e : M ≃ₗ[R] P) (f : P →ₗ[R] N), IsBaseChange S f → IsBaseChange S (f ∘ₗ ↑e)- Defined in
- Mathlib.RingTheory.IsTensorProduct
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 66 from the axioms · uses propext, Quot.sound
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Cites19
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- Modulestatement and proof · cited by 20,661
- RingHom.idstatement and proof · cited by 18,349
- AddCommMonoidstatement and proof · cited by 12,281
- Algebrastatement and proof · cited by 11,388
- CommSemiringstatement and proof · cited by 10,911
- LinearMapstatement and proof · cited by 10,215
- IsScalarTowerstatement and proof · cited by 3,896
- LinearEquivstatement and proof · cited by 3,317
- LinearMap.compstatement and proof · cited by 1,642
- LinearEquiv.toLinearMapstatement and proof · cited by 1,171
- LinearMap.extproof · cited by 844
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