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Theorems · Theorem · commutative algebra

Submodule.LinearDisjoint.of_subsingleton_top

∀ {R : Type u} {S : Type v} [inst : CommSemiring R] [inst_1 : Semiring S] [inst_2 : Algebra R S] {M N : Submodule R S}
  [Subsingleton S], M.LinearDisjoint N
Defined in
Mathlib.LinearAlgebra.LinearDisjoint
Cited by
1 results in Mathlib
Foundations
Depth 59 from the axioms · uses propext, Quot.sound
Assumes
CommSemiringSemiringAlgebraSubsingleton
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Around this declaration

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Subalgebra.LinearDisjoint.of_subsingleton_top · cited by 0LinearDisjoint.of_subsing…DFunLike.coe · cited by 62936DFunLike.coeSemiring · cited by 13802SemiringAlgebra · cited by 11388AlgebraCommSemiring · cited by 10911CommSemiringSubmodule · cited by 7192SubmoduleSubmodule.LinearDisjoint · cited by 54Submodule.LinearDisjointSubmodule.mulMap · cited by 43Submodule.mulMapFunction.injective_of_subsingleton · cited by 17Function.injective_of_sub…LinearDisjoint.of_subsingleto…CITED BYCITES

Cites8

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Cited by1

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