Theorems · Theorem · number theory
Subgroup.HasDetOne.det_eq
∀ {n : Type u_1} {inst : Fintype n} {inst_1 : DecidableEq n} {R : Type u_2} {inst_2 : CommRing R}
{Γ : Subgroup (GL n R)} [self : Γ.HasDetOne] {g : GL n R}, g ∈ Γ → Matrix.GeneralLinearGroup.det g = 1- Cited by
- 3 results in Mathlib
- Foundations
- Depth 95 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Subgroup.HasDetOne
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- CommRingstatement and proof · cited by 17,173
- Fintypestatement and proof · cited by 7,736
- Matrixstatement · cited by 4,303
- MonoidHomstatement · cited by 3,629
- Subgroupstatement and proof · cited by 3,593
- Unitsstatement · cited by 2,804
- Matrix.GeneralLinearGroupstatement and proof · cited by 556
- Matrix.GeneralLinearGroup.detstatement · cited by 58
- Subgroup.HasDetOnestatement and proof · cited by 18
Cited by3
Results whose statement or proof uses this declaration.
- SlashInvariantForm.slash_action_eqn'proof · cited by 2
- SlashInvariantFormClass.petersson_smulproof · cited by 0
- Subgroup.hasDetOne_adjoinNegOne_iffproof · cited by 0