Theorems · Theorem · commutative algebra
FinitePresentation.of_isBaseChange
∀ {R : Type u_2} {M : Type u_4} {N : Type u_3} [inst : CommRing R] [inst_1 : AddCommGroup M] [inst_2 : Module R M]
[inst_3 : AddCommGroup N] [inst_4 : Module R N] {A : Type u_1} [inst_5 : CommRing A] [inst_6 : Algebra R A]
[inst_7 : Module A N] [inst_8 : IsScalarTower R A N] (f : M →ₗ[R] N),
IsBaseChange A f → ∀ [Module.FinitePresentation R M], Module.FinitePresentation A N- Cited by
- 0 results in Mathlib
- Foundations
- Depth 95 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites16
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
- 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
- IsScalarTowerstatement and proof · cited by 3,896
- LinearEquiv.toLinearMapproof · cited by 1,171
- Submodule.FGproof · cited by 230
- IsBaseChangestatement and proof · cited by 87
- LinearEquiv.surjectiveproof · cited by 66
- Module.FinitePresentationstatement and proof · cited by 60
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