Theorems · Theorem · commutative algebra
Module.Flat.tensorSubmoduleAlgebraEquiv.congr_simp
∀ {R : Type u} {M : Type v} {A : Type u_4} [inst : CommSemiring R] [inst_1 : AddCommMonoid M] [inst_2 : Module R M]
[inst_3 : Semiring A] [inst_4 : Algebra R A] (e : TensorProduct R A M ≃ₗ[A] A) [inst_5 : Module.Flat R M]
[inst_6 : FaithfulSMul R A], Module.Flat.tensorSubmoduleAlgebraEquiv e = Module.Flat.tensorSubmoduleAlgebraEquiv e- Defined in
- Mathlib.RingTheory.PicardGroup
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 106 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites13
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- Modulestatement and proof · cited by 20,661
- RingHom.idstatement and proof · 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
- Submodulestatement · cited by 7,192
- LinearEquivstatement and proof · cited by 3,317
- TensorProductstatement and proof · cited by 2,545
- FaithfulSMulstatement and proof · cited by 340
- Module.Flatstatement and proof · cited by 279
- Module.Flat.submoduleAlgebrastatement · cited by 5
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