Theorems · Theorem · commutative algebra

Module.finitePresentation_of_projective

∀ (R : Type u_1) (M : Type u_2) [inst : Ring R] [inst_1 : AddCommGroup M] [inst_2 : Module R M] [Module.Projective R M]
  [Module.Finite R M], Module.FinitePresentation R M

Defined in: Mathlib.Algebra.Module.FinitePresentation
Cited by: 2 results in Mathlib
Foundations: Depth 92 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: Ring AddCommGroup Module Module.Projective Module.Finite

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Cites15

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.idproof · cited by 18,349
AddCommGroupstatement and proof · cited by 12,871
LinearMapproof · cited by 10,215
Ringstatement and proof · cited by 7,463
LinearMap.compproof · cited by 1,642
Module.Finitestatement and proof · cited by 1,032
LinearMap.idproof · cited by 625
Module.Projectivestatement and proof · cited by 82
Module.FinitePresentationstatement and proof · cited by 60
Submodule.FG.of_finiteproof · cited by 3

Cited by2

Results whose statement or proof uses this declaration.

Module.FinitePresentation.of_finite_of_finitePresentationproof · cited by 2
Module.FinitePresentation.exists_basis_localizedModule_powersproof · cited by 1