Theorems · Theorem · linear algebra
Matrix.map_mul_intCast
∀ {n : Type u_2} [inst : Fintype n] {α : Type u_3} [inst_1 : NonAssocRing α] (A B : Matrix n n ℤ),
(A * B).map Int.cast = A.map Int.cast * B.map Int.cast- Defined in
- Mathlib.LinearAlgebra.Matrix.Integer
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 57 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- FintypeNonAssocRing
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Fintypestatement and proof · cited by 7,736
- Matrixstatement and proof · cited by 4,303
- NonAssocRingstatement and proof · cited by 483
- Matrix.mapstatement · cited by 247
- Matrix.map_mulproof · cited by 9
Cited by1
Results whose statement or proof uses this declaration.
- CongruenceSubgroup.exists_Gamma_le_conjproof · cited by 1