Mathlib Map

Theorems · Definition · group theory

Group.casesOn

{G : Type u} →
  {motive : Group G → Sort u_1} →
    (t : Group G) →
      ([toDivInvMonoid : DivInvMonoid G] →
          (inv_mul_cancel : ∀ (a : G), a⁻¹ * a = 1) →
            motive { toDivInvMonoid := toDivInvMonoid, inv_mul_cancel := inv_mul_cancel }) →
        motive t
Defined in
Mathlib.Algebra.Group.Defs
Cited by
2 results in Mathlib
Foundations
Depth 6 from the axioms · uses no axioms
Mathlib docsSourceLoogleLeanSearch

Around this declaration

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

Group.isSolvable_of_comm · cited by 4Group.isSolvable_of_commGroup.toDivInvMonoid_injective · cited by 1Group.toDivInvMonoid_inje…Group.noConfusion · cited by 0Group.noConfusionGroup.noConfusionType · cited by 0Group.noConfusionTypeGroup · cited by 6238GroupDivInvMonoid · cited by 103DivInvMonoidMonoid.toOne · cited by 34Monoid.toOneGroup.casesOnCITED BYCITES

Cites3

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by4

Results whose statement or proof uses this declaration.