Theorems · Theorem · commutative algebra

Module.IsStablyFree.of_shrink

∀ (R : Type u) [inst : Ring R] (M : Type v) [inst_1 : AddCommGroup M] [inst_2 : Module R M] [inst_3 : Small.{w, v} M]
  [Module.IsStablyFree R (Shrink.{w, v} M)], Module.IsStablyFree R M

Defined in: Mathlib.Algebra.Module.StablyFree.Basic
Cited by: 0 results in Mathlib
Foundations: Depth 90 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: Ring AddCommGroup Module Small Module.IsStablyFree

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Modulestatement and proof · cited by 20,661
AddCommGroupstatement and proof · cited by 12,871
Ringstatement and proof · cited by 7,463
Smallstatement and proof · cited by 369
Shrinkstatement and proof · cited by 132
Shrink.linearEquivproof · cited by 19
Module.IsStablyFreestatement and proof · cited by 8
Module.IsStablyFree.equivproof · cited by 3

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