Subgroup.IsComplement.equiv_fst_eq_one_of_mem_of_one_mem

∀ {G : Type u_1} [inst : Group G] {S T : Set G} (hST : Subgroup.IsComplement S T) {g : G} (h1 : 1 ∈ S),
  g ∈ T → (hST.equiv g).1 = ⟨1, h1⟩

Defined in: Mathlib.GroupTheory.Complement
Cited by: 2 results in Mathlib
Foundations: Depth 16 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: Group

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