Theorems · Definition · group theory
Matrix.GeneralLinearGroup.upperRightHom
{R : Type u_1} → [inst : Ring R] → AddChar R (GL (Fin 2) R)The map sending x to [1, x; 0, 1] (bundled as an AddChar).
- Cited by
- 14 results in Mathlib
- Foundations
- Depth 84 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Ring
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- Ringstatement and proof · cited by 7,463
- Matrixstatement · cited by 4,303
- Matrix.vecConsproof · cited by 852
- Matrix.vecEmptyproof · cited by 832
- Matrix.GeneralLinearGroupstatement · cited by 556
- Matrix.ofproof · cited by 336
- AddCharstatement · cited by 286
Cited by15
Results whose statement or proof uses this declaration.
- Subgroup.strictPeriodsproof · cited by 63
- Matrix.GeneralLinearGroup.upperRightHom_applystatement and proof · cited by 8
- Subgroup.isCusp_of_mem_strictPeriodsproof · cited by 6
- Subgroup.strictWidthInfty_pos_iffproof · cited by 5
- Subgroup.strictPeriods_eq_zmultiples_one_of_T_memproof · cited by 4
- Subgroup.strictPeriods_le_periodsproof · cited by 3
- Subgroup.mem_strictPeriods_iffstatement · cited by 3
- CongruenceSubgroup.strictPeriods_Gammaproof · cited by 2
- SlashInvariantForm.vAdd_apply_of_mem_strictPeriodsproof · cited by 2
- Matrix.GeneralLinearGroup.isParabolic_iff_of_upperTriangular_of_detstatement and proof · cited by 1
- Subgroup.relIndex_strictPeriodsproof · cited by 1
- Subgroup.HasDetPlusMinusOne.isParabolic_iff_of_upperTriangularstatement · cited by 1