Theorems · Theorem · group theory
Matrix.TransvectionStruct.toSpecialLinearGroup_def
∀ {ι : Type u_1} {F : Type u_2} [inst : DecidableEq ι] [inst_1 : Fintype ι] [inst_2 : CommRing F]
(t : Matrix.TransvectionStruct ι F), t.toSpecialLinearGroup = Matrix.SpecialLinearGroup.transvection ⋯ t.c- Cited by
- 1 results in Mathlib
- Foundations
- Depth 94 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- DecidableEqFintypeCommRing
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
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
- Matrix.SpecialLinearGroupstatement · cited by 348
- Matrix.TransvectionStructstatement and proof · cited by 42
- Matrix.SpecialLinearGroup.transvectionstatement · cited by 21
- Matrix.TransvectionStruct.istatement · cited by 7
- Matrix.TransvectionStruct.toSpecialLinearGroupstatement · cited by 6
- Matrix.TransvectionStruct.jstatement · cited by 6
- Matrix.TransvectionStruct.cstatement · cited by 5
- Matrix.TransvectionStruct.hijstatement · cited by 4
Cited by1
Results whose statement or proof uses this declaration.
- Matrix.SpecialLinearGroup.diagonal_transvection_induction'proof · cited by 1