Theorems · Theorem · number theory
SlashInvariantForm.slash_action_generators
∀ {f : UpperHalfPlane → ℂ} {Γ : Subgroup (GL (Fin 2) ℝ)} {s : Set (GL (Fin 2) ℝ)},
Γ = Subgroup.closure s → ∀ {k : ℤ}, (∀ γ ∈ Γ, SlashAction.map k γ f = f) ↔ ∀ γ ∈ s, SlashAction.map k γ f = f- Cited by
- 1 results in Mathlib
- Foundations
- Depth 176 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites14
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement and proof · cited by 53,352
- Realstatement and proof · cited by 25,697
- Complexstatement and proof · cited by 5,565
- Matrixstatement · cited by 4,303
- Subgroupstatement and proof · cited by 3,593
- UpperHalfPlanestatement and proof · cited by 626
- Matrix.GeneralLinearGroupstatement and proof · cited by 556
- Subgroup.closurestatement and proof · cited by 196
- mul_inv_cancelproof · cited by 128
- SlashAction.mapstatement and proof · cited by 74
- Subgroup.closure_inductionproof · cited by 14
- SlashAction.slash_oneproof · cited by 6
Cited by1
Results whose statement or proof uses this declaration.
- SlashInvariantForm.slash_action_generators_SL2Zproof · cited by 0