Theorems · Theorem · commutative algebra
Module.FinitePresentation.exists_fin
∀ (R : Type u) (M : Type u_1) [inst : Ring R] [inst_1 : AddCommGroup M] [inst_2 : Module R M] [fp : Module.FinitePresentation R M], ∃ n K x, K.FG
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 92 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites37
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Modulestatement and proof · cited by 20,661
- RingHom.idstatement and proof · cited by 18,349
- Finsetproof · cited by 13,712
- AddCommGroupstatement and proof · cited by 12,871
- Top.topproof · cited by 9,680
- SetLike.coeproof · cited by 8,199
- Ringstatement and proof · cited by 7,463
- Submodulestatement and proof · cited by 7,192
- Equiv.symmproof · cited by 3,681
- LinearEquivstatement and proof · cited by 3,317
- Finset.cardproof · cited by 2,327
- HasQuotient.Quotientstatement and proof · cited by 2,301
Cited by4
Results whose statement or proof uses this declaration.
- Module.Flat.exists_factorization_of_finitePresentationproof · cited by 2
- Module.FinitePresentation.transproof · cited by 1
- Module.FinitePresentation.exists_fin'proof · cited by 1
- Module.FinitePresentation.equiv_quotientproof · cited by 0