Theorems · Inductive type · number theory
Subgroup.HasDetPlusMinusOne
{n : Type u_1} →
[inst : Fintype n] → [inst_1 : DecidableEq n] → {R : Type u_2} → [inst_2 : CommRing R] → Subgroup (GL n R) → PropTypeclass saying that a subgroup of GL(2, ℝ) has determinant contained in {±1}. Necessary
so that the typeclass system can detect when the slash action is multiplicative.
- Cited by
- 57 results in Mathlib
- Foundations
- Depth 83 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- FintypeDecidableEqCommRing
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CommRingstatement · cited by 17,173
- Fintypestatement · cited by 7,736
- Matrixstatement · cited by 4,303
- Subgroupstatement · cited by 3,593
- Matrix.GeneralLinearGroupstatement · cited by 556
Cited by72
Results whose statement or proof uses this declaration.
- ModularForm.mulstatement and proof · cited by 6
- ModularForm.powstatement and proof · cited by 6
- Subgroup.strictWidthInfty_pos_iffstatement and proof · cited by 5
- ModularForm.normstatement and proof · cited by 5
- ModularForm.qExpansion_mulstatement and proof · cited by 4
- ModularForm.qExpansionRingHomstatement and proof · cited by 3
- ModularForm.coe_mulstatement and proof · cited by 3
- Subgroup.HasDetPlusMinusOne.det_eqstatement and proof · cited by 3
- ModularForm.constℝstatement and proof · cited by 2
- SlashInvariantForm.constℝstatement and proof · cited by 2
- ModularFormClass.exp_decay_atImInfty'statement and proof · cited by 2
- SlashInvariantForm.mulstatement and proof · cited by 2