Theorems · Theorem · group theory
SymplecticGroup.J_mem
∀ (l : Type u_1) (R : Type u_2) [inst : DecidableEq l] [inst_1 : Fintype l] [inst_2 : CommRing R], Matrix.J l R ∈ Matrix.symplecticGroup l R
- Defined in
- Mathlib.LinearAlgebra.SymplecticGroup
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 85 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.
Cites19
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 and proof · cited by 4,303
- mul_oneproof · cited by 3,885
- Submonoidstatement · cited by 3,086
- add_zeroproof · cited by 2,707
- zero_addproof · cited by 2,366
- MulZeroClass.mul_zeroproof · cited by 2,091
- neg_negproof · cited by 960
- mul_negproof · cited by 590
- neg_zeroproof · cited by 542
- Matrix.transposeproof · cited by 389
Cited by1
Results whose statement or proof uses this declaration.
- SymplecticGroup.symJproof · cited by 1