Mathlib Map

Theorems · Theorem · linear algebra

Matrix.of_apply

∀ {m : Type u_2} {n : Type u_3} {α : Type v} (f : m → n → α) (i : m) (j : n), Matrix.of f i j = f i j
Defined in
Mathlib.LinearAlgebra.Matrix.Defs
Cited by
15 results in Mathlib
Foundations
Depth 14 from the axioms · uses Quot.sound
Mathlib docsSourceLoogleLeanSearch

Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

Matrix.adjugate_apply · cited by 5Matrix.adjugate_applyAlgebra.leftMulMatrix_complex · cited by 2Algebra.leftMulMatrix_com…Algebra.Norm.Transitivity.auxMat_blockTriangular · cited by 2Transitivity.auxMat_block…Algebra.traceMatrix_of_basis_mulVec · cited by 2Algebra.traceMatrix_of_ba…LinearMap.polyCharpolyAux_map_eq_toMatrix_charpoly · cited by 2LinearMap.polyCharpolyAux…NumberField.Units.finrank_mul_regOfFamily_eq_det · cited by 2Units.finrank_mul_regOfFa…NumberField.mixedEmbedding.fundamentalCone.abs_det_completeBasis_equivFunL_symm · cited by 1fundamentalCone.abs_det_c…Polynomial.sylvester_zero_left_deg · cited by 1Polynomial.sylvester_zero…Matrix.eval_matrixOfPolynomials_eq_vandermonde_mul_matrixOfPolynomials · cited by 1Matrix.eval_matrixOfPolyn…Matrix.det_matrixOfPolynomials · cited by 1Matrix.det_matrixOfPolyno…basis_toMatrix_basisFun_mul · cited by 1basis_toMatrix_basisFun_m…NumberField.IsCMField.regOfFamily_realFunSystem · cited by 1IsCMField.regOfFamily_rea…Matrix.mul_adjugate_apply · cited by 1Matrix.mul_adjugate_applyAlgebra.traceForm_toMatrix_powerBasis · cited by 0Algebra.traceForm_toMatri…Matrix.diagonal_unique · cited by 0Matrix.diagonal_uniqueDFunLike.coe · cited by 62936DFunLike.coeEquiv · cited by 8337EquivMatrix · cited by 4303MatrixMatrix.of · cited by 336Matrix.ofMatrix.of_applyCITED BYCITES

Cites4

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by15

Results whose statement or proof uses this declaration.