Theorems · Theorem · linear algebra

Finsupp.Uncountable.of_moduleFinite

∀ {M : Type u_1} {R : Type u_2} [inst : Semiring R] [inst_1 : AddCommMonoid M] [inst_2 : Module R M]
  [hM : Uncountable M] [Module.Finite R M], Uncountable R

Defined in: Mathlib.LinearAlgebra.Countable
Cited by: 0 results in Mathlib
Foundations: Depth 87 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: Semiring AddCommMonoid Module Uncountable Module.Finite

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Modulestatement and proof · cited by 20,661
Semiringstatement and proof · cited by 13,802
AddCommMonoidstatement and proof · cited by 12,281
Module.Finitestatement and proof · cited by 1,032
Uncountablestatement and proof · cited by 27
uncountable_iff_not_countableproof · cited by 4
Finsupp.Countable.of_moduleFiniteproof · cited by 1

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