Theorems · Definition · group theory
FixedDetMatrix
(n : Type u_1) → [DecidableEq n] → [Fintype n] → (R : Type u_2) → [CommRing R] → R → Type (max 0 u_1 u_2)
The subtype of matrices with fixed determinant m
- Cited by
- 19 results in Mathlib
- Foundations
- Depth 87 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.
Cites4
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
- Matrixproof · cited by 4,303
- Matrix.detproof · cited by 665
Cited by23
Results whose statement or proof uses this declaration.
- FixedDetMatrices.reduceStepstatement and proof · cited by 7
- FixedDetMatrices.reducestatement and proof · cited by 6
- FixedDetMatrices.reduce_recstatement and proof · cited by 3
- FixedDetMatrices.repsstatement and proof · cited by 3
- SpecialLinearGroup.SL2Z_generatorsproof · cited by 2
- FixedDetMatrices.extstatement and proof · cited by 2
- FixedDetMatrices.reduce_of_not_posstatement and proof · cited by 2
- FixedDetMatrices.reduce_of_posstatement and proof · cited by 2
- FixedDetMatrices.reduce_reduceStepstatement and proof · cited by 2
- FixedDetMatrices.ext'statement and proof · cited by 1
- FixedDetMatrices.induction_onstatement and proof · cited by 1
- FixedDetMatrices.reduce_mem_repsstatement and proof · cited by 1