Theorems · Theorem · commutative algebra

Module.FinitePresentation.isBaseChange_map

∀ (R : Type u_4) (M : Type u_5) (N : Type u_6) [inst : CommRing R] [inst_1 : AddCommGroup M] [inst_2 : Module R M]
  [inst_3 : AddCommGroup N] [inst_4 : Module R N] (S : Type u_3) [inst_5 : CommRing S] [inst_6 : Algebra R S]
  [Module.Flat R S] [Module.FinitePresentation R M], IsBaseChange S (LinearMap.baseChangeHom R S M N)

Defined in: Mathlib.Algebra.Module.FinitePresentation
Cited by: 0 results in Mathlib
Foundations: Depth 105 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: CommRing AddCommGroup Module AddCommGroup Module CommRing Algebra Module.Flat Module.FinitePresentation

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DFunLike.coeproof · cited by 62,936
Modulestatement and proof · cited by 20,661
RingHom.idstatement and proof · cited by 18,349
CommRingstatement and proof · cited by 17,173
AddCommGroupstatement and proof · cited by 12,871
Algebrastatement and proof · cited by 11,388
LinearMapstatement and proof · cited by 10,215
TensorProductstatement and proof · cited by 2,545
LinearMap.compproof · cited by 1,642
TensorProduct.tmulproof · cited by 1,182
LinearMap.extproof · cited by 844
Module.Flatstatement and proof · cited by 279

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