Theorems · Theorem · commutative algebra
Submodule.toBaseChange.toLinearEquiv_apply
∀ {R : Type u_1} (A : Type u_3) [inst : CommSemiring R] [inst_1 : Semiring A] [inst_2 : Algebra R A]
[inst_3 : Module.Flat R A] {M : Type u_5} [inst_4 : AddCommMonoid M] [inst_5 : Module R M] (p : Submodule R M)
(x : TensorProduct R A ↥p), (Submodule.toBaseChange.toLinearEquiv A p) x = (Submodule.toBaseChange A p) x- Defined in
- Mathlib.RingTheory.Flat.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 106 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites15
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- DFunLike.coestatement and proof · 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
- LinearEquivstatement · cited by 3,317
- TensorProductstatement and proof · cited by 2,545
- Module.Flatstatement and proof · cited by 279
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