Theorems · Definition · group theory

Group.IsSolvable.casesOn

{G : Type u_1} →
  [inst : Group G] →
    {motive : Group.IsSolvable G → Sort u} →
      (t : Group.IsSolvable G) → ((solvable : ∃ n, derivedSeries G n = ⊥) → motive ⋯) → motive t

Defined in: Mathlib.GroupTheory.Solvable
Cited by: 4 results in Mathlib
Foundations: Depth 72 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: Group

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Cites5

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

Groupstatement and proof · cited by 6,238
Bot.botstatement and proof · cited by 4,720
Subgroupstatement · cited by 3,593
Group.IsSolvablestatement and proof · cited by 46
derivedSeriesstatement and proof · cited by 22

Cited by4

Results whose statement or proof uses this declaration.

Group.isSolvable_of_ker_le_rangeproof · cited by 5
Group.IsSolvable.commutator_lt_top_of_nontrivialproof · cited by 3
Group.isSolvable_defproof · cited by 2
Group.isSolvable_iff_commutator_ltproof · cited by 1