Theorems · Theorem · group theory
Matrix.map_J
∀ (l : Type u_1) {R : Type u_2} [inst : DecidableEq l] [inst_1 : CommRing R] {F : Type u_3} {S : Type u_4}
[inst_2 : CommRing S] [inst_3 : FunLike F R S] [AddMonoidHomClass F R S] [OneHomClass F R S] (f : F),
(Matrix.J l R).map ⇑f = Matrix.J l S- Defined in
- Mathlib.LinearAlgebra.SymplecticGroup
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 17 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites16
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- CommRingstatement and proof · cited by 17,173
- Matrixstatement · cited by 4,303
- FunLikestatement and proof · cited by 2,560
- map_zeroproof · cited by 1,614
- map_oneproof · cited by 861
- map_negproof · cited by 378
- AddMonoidHomClassstatement and proof · cited by 252
- Matrix.mapstatement · cited by 247
- Matrix.fromBlocksproof · cited by 108
- OneHomClassstatement and proof · cited by 38
- Matrix.Jstatement · cited by 20
Cited by1
Results whose statement or proof uses this declaration.
- SymplecticGroup.map_memproof · cited by 1