Theorems · Definition · group theory

MulAction.QuotientAction.casesOn

{G : Type u} →
  {X : Type v} →
    [inst : Group G] →
      [inst_1 : Monoid X] →
        [inst_2 : MulAction X G] →
          {H : Subgroup G} →
            {motive : MulAction.QuotientAction X H → Sort u_1} →
              (t : MulAction.QuotientAction X H) →
                ((inv_mul_mem : ∀ (b : X) {a a' : G}, a⁻¹ * a' ∈ H → (b • a)⁻¹ * b • a' ∈ H) → motive ⋯) → motive t

Defined in

Mathlib.GroupTheory.GroupAction.Quotient

Cited by

0 results in Mathlib

Foundations

Depth 19 from the axioms · uses propext

Assumes

GroupMonoidMulAction