Theorems · Theorem · commutative algebra

Submodule.baseChangeOrderEmbedding_apply

∀ (R : Type u_1) (M : Type u_2) (A : Type u_3) [inst : CommRing R] [inst_1 : Ring A] [inst_2 : Algebra R A]
  [inst_3 : Module.FaithfullyFlat R A] [inst_4 : AddCommGroup M] [inst_5 : Module R M] (p : Submodule R M),
  (Submodule.baseChangeOrderEmbedding R M A) p = Submodule.baseChange A p

Defined in: Mathlib.RingTheory.Flat.FaithfullyFlat.Basic
Cited by: 0 results in Mathlib
Foundations: Depth 113 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: CommRing Ring Algebra Module.FaithfullyFlat AddCommGroup Module

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DFunLike.coestatement and proof · cited by 62,936
Modulestatement and proof · cited by 20,661
CommRingstatement and proof · cited by 17,173
AddCommGroupstatement and proof · cited by 12,871
Algebrastatement and proof · cited by 11,388
Ringstatement and proof · cited by 7,463
Submodulestatement and proof · cited by 7,192
TensorProductstatement · cited by 2,545
RelEmbeddingstatement · cited by 281
Module.FaithfullyFlatstatement and proof · cited by 72
Submodule.baseChangestatement · cited by 36
Submodule.baseChangeOrderEmbeddingstatement and proof · cited by 3

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