Theorems · Theorem · group theory
Matrix.ProjGenLinGroup.lift_comp_mk
∀ {n : Type u_1} {R : Type u_2} [inst : Fintype n] [inst_1 : DecidableEq n] [inst_2 : CommRing R] {M : Type u_3}
[inst_3 : Monoid M] {f : GL n R →* M} (hf : f.comp (Matrix.GeneralLinearGroup.scalar n) = 1),
(Matrix.ProjGenLinGroup.lift f hf).comp Matrix.ProjGenLinGroup.mk = f- Cited by
- 0 results in Mathlib
- Foundations
- Depth 91 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites12
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CommRingstatement and proof · cited by 17,173
- Fintypestatement and proof · cited by 7,736
- Matrixstatement · cited by 4,303
- Monoidstatement and proof · cited by 3,887
- MonoidHomstatement and proof · cited by 3,629
- Unitsstatement · cited by 2,804
- Matrix.GeneralLinearGroupstatement and proof · cited by 556
- MonoidHom.compstatement and proof · cited by 469
- Matrix.ProjGenLinGroupstatement · cited by 23
- Matrix.ProjGenLinGroup.mkstatement and proof · cited by 19
- Matrix.GeneralLinearGroup.scalarstatement and proof · cited by 18
- Matrix.ProjGenLinGroup.liftstatement and proof · cited by 2
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