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Theorems · Theorem · group theory

VAddCommClass.symm

∀ (M : Type u_9) (N : Type u_10) (α : Type u_11) [inst : VAdd M α] [inst_1 : VAdd N α] [VAddCommClass M N α],
  VAddCommClass N M α

Commutativity of additive actions is a symmetric relation. This lemma can't be an instance because this would cause a loop in the instance search graph.

Defined in
Mathlib.Algebra.Group.Action.Defs
Cited by
1 results in Mathlib
Foundations
Depth 5 from the axioms · uses no axioms
Assumes
VAddVAddVAddCommClass
Mathlib docsSourceLoogleLeanSearch

Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

vadd_add_vadd_comm · cited by 2vadd_add_vadd_commVAdd · cited by 616VAddVAddCommClass · cited by 41VAddCommClassVAddCommClass.vadd_comm · cited by 19VAddCommClass.vadd_commVAddCommClass.symmCITED BYCITES

Cites3

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Cited by1

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