Theorems · Definition · number theory
ModularGroup.lcRow0Extend
{cd : Fin 2 → ℤ} → IsCoprime (cd 0) (cd 1) → Matrix (Fin 2) (Fin 2) ℝ ≃ₗ[ℝ] Matrix (Fin 2) (Fin 2) ℝLinear map sending the matrix [a, b; c, d] to the matrix [ac₀ + bd₀, - ad₀ + bc₀; c, d], for
some fixed (c₀, d₀).
- Defined in
- Mathlib.NumberTheory.Modular
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 111 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites13
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- Realstatement and proof · cited by 25,697
- RingHom.idstatement · cited by 18,349
- Matrixstatement · cited by 4,303
- LinearEquivstatement · cited by 3,317
- Matrix.vecConsproof · cited by 852
- Matrix.vecEmptyproof · cited by 832
- IsCoprimestatement and proof · cited by 321
- LinearEquiv.reflproof · cited by 143
- LinearEquiv.piCongrRightproof · cited by 16
- Matrix.planeConformalMatrixproof · cited by 7
- LinearMap.GeneralLinearGroup.generalLinearEquivproof · cited by 7
Cited by4
Results whose statement or proof uses this declaration.
- ModularGroup.tendsto_lcRow0proof · cited by 1
- ModularGroup.lcRow0Extend_applystatement and proof · cited by 1
- ModularGroup.lcRow0Extend_symm_applystatement and proof · cited by 0
- ModularGroup.lcRow0Extend.congr_simpstatement and proof · cited by 0