Theorems · Theorem · group theory
Matrix.ProjGenLinGroup.map_mk
∀ {n : Type u_1} {R : Type u_2} [inst : Fintype n] [inst_1 : DecidableEq n] [inst_2 : CommRing R] {S : Type u_4}
[inst_3 : CommRing S] (f : R →+* S) (g : GL n R),
(Matrix.ProjGenLinGroup.map f) (Matrix.ProjGenLinGroup.mk g) =
Matrix.ProjGenLinGroup.mk ((Matrix.GeneralLinearGroup.map f) g)- Cited by
- 0 results in Mathlib
- Foundations
- Depth 91 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites11
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- CommRingstatement and proof · cited by 17,173
- RingHomstatement and proof · cited by 10,189
- Fintypestatement and proof · cited by 7,736
- Matrixstatement · cited by 4,303
- MonoidHomstatement · cited by 3,629
- Matrix.GeneralLinearGroupstatement and proof · cited by 556
- Matrix.GeneralLinearGroup.mapstatement · cited by 29
- Matrix.ProjGenLinGroupstatement · cited by 23
- Matrix.ProjGenLinGroup.mkstatement · cited by 19
- Matrix.ProjGenLinGroup.mapstatement · cited by 3
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