Theorems · Definition · number theory
ModularGroup.lcRow0
(Fin 2 → ℤ) → Matrix (Fin 2) (Fin 2) ℝ →ₗ[ℝ] ℝ
Given coprime_pair p=(c,d), the matrix [[a,b],[*,*]] is sent to a*c+b*d.
This is the linear map version of this operation.
- Defined in
- Mathlib.NumberTheory.Modular
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 96 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Realstatement · cited by 25,697
- RingHom.idstatement · cited by 18,349
- LinearMapstatement · cited by 10,215
- Matrixstatement · cited by 4,303
- LinearMap.compproof · cited by 1,642
- LinearMap.projproof · cited by 71
Cited by4
Results whose statement or proof uses this declaration.
- ModularGroup.smul_eq_lcRow0_addstatement and proof · cited by 1
- ModularGroup.tendsto_abs_re_smulproof · cited by 1
- ModularGroup.tendsto_lcRow0statement and proof · cited by 1
- ModularGroup.lcRow0_applystatement · cited by 0