Theorems · Theorem · linear algebra

Module.Basis.span.congr_simp

∀ {ι : Type u_1} {R : Type u_3} {M : Type u_5} [inst : Semiring R] [inst_1 : AddCommMonoid M] [inst_2 : Module R M]
  {v : ι → M} (hli : LinearIndependent R v), Module.Basis.span hli = Module.Basis.span hli

Defined in: Mathlib.LinearAlgebra.Basis.Basic
Cited by: 0 results in Mathlib
Foundations: Depth 89 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: Semiring AddCommMonoid Module

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Modulestatement and proof · cited by 20,661
Semiringstatement and proof · cited by 13,802
AddCommMonoidstatement and proof · cited by 12,281
Submodulestatement · cited by 7,192
Set.rangestatement · cited by 4,705
Submodule.spanstatement · cited by 1,504
Module.Basisstatement · cited by 1,477
LinearIndependentstatement and proof · cited by 560
Module.Basis.spanstatement and proof · cited by 11

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