Theorems · Theorem · number theory
UpperHalfPlane.pglMk_smul
∀ (g : GL (Fin 2) ℝ) (z : UpperHalfPlane), Matrix.ProjGenLinGroup.mk g • z = g • z
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- Foundations
- Depth 177 from the axioms · uses propext, Classical.choice, Quot.sound
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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
- Realstatement and proof · cited by 25,697
- Matrixstatement · cited by 4,303
- MonoidHomstatement · cited by 3,629
- UpperHalfPlanestatement and proof · cited by 626
- Matrix.GeneralLinearGroupstatement and proof · cited by 556
- Matrix.ProjGenLinGroupstatement · cited by 23
- Matrix.ProjGenLinGroup.mkstatement · cited by 19
- UpperHalfPlane.glScalar_smulproof · cited by 2
- Matrix.ProjGenLinGroup.mk_smulproof · cited by 1
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