Theorems · Theorem · linear algebra

Module.DualBases.coe_dualBasis

∀ {R : Type u_1} {M : Type u_2} {ι : Type u_3} [inst : CommSemiring R] [inst_1 : AddCommMonoid M] [inst_2 : Module R M]
  {e : ι → M} {ε : ι → Module.Dual R M} (h : Module.DualBases e ε) [inst_3 : DecidableEq ι] [inst_4 : Finite ι],
  ⇑h.basis.dualBasis = ε

Defined in: Mathlib.LinearAlgebra.Dual.Basis
Cited by: 0 results in Mathlib
Foundations: Depth 100 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: CommSemiring AddCommMonoid Module DecidableEq Finite

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DFunLike.coestatement and proof · cited by 62,936
Modulestatement and proof · cited by 20,661
RingHom.idstatement · cited by 18,349
AddCommMonoidstatement and proof · cited by 12,281
CommSemiringstatement and proof · cited by 10,911
Finitestatement and proof · cited by 3,029
Module.Basisstatement · cited by 1,477
Module.Dualstatement and proof · cited by 583
Module.Basis.extproof · cited by 63
Module.Basis.coord_applyproof · cited by 49
Module.Basis.dualBasisstatement · cited by 29
Module.Basis.coe_dualBasisproof · cited by 15

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