Theorems · Theorem · linear algebra
RingHom.mapMatrix_apply
∀ {m : Type u_2} {α : Type u_11} {β : Type u_12} [inst : Fintype m] [inst_1 : DecidableEq m]
[inst_2 : NonAssocSemiring α] [inst_3 : NonAssocSemiring β] (f : α →+* β) (M : Matrix m m α), f.mapMatrix M = M.map ⇑f- Defined in
- Mathlib.Data.Matrix.Basic
- Cited by
- 73 results in Mathlib
- Foundations
- Depth 76 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
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
- RingHomstatement and proof · cited by 10,189
- Fintypestatement and proof · cited by 7,736
- Matrixstatement and proof · cited by 4,303
- NonAssocSemiringstatement and proof · cited by 805
- Matrix.mapstatement · cited by 247
- RingHom.mapMatrixstatement and proof · cited by 55
Cited by73
Results whose statement or proof uses this declaration.
- RingHom.map_detproof · cited by 41
- Polynomial.resultant_map_mapproof · cited by 10
- Matrix.charmatrix_apply_eqproof · cited by 8
- Matrix.charmatrix_apply_neproof · cited by 6
- ModularGroup.SL_neg_smulproof · cited by 5
- NumberField.mixedEmbedding.volume_fundamentalDomain_latticeBasisproof · cited by 4
- NumberField.absNorm_differentIdealproof · cited by 4
- Subgroup.strictPeriods_eq_zmultiples_one_of_T_memproof · cited by 4
- Algebra.discr_eq_det_embeddingsMatrixReindex_pow_twoproof · cited by 4
- Matrix.SpecialLinearGroup.map_mapGLproof · cited by 3
- LieAlgebra.Basis.linearIndependent_baseSuppproof · cited by 3
- Matrix.adjugate_mul_distribproof · cited by 3