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Mathlib/LinearAlgebra/DirectSum Expand file tree Collapse file tree Original file line number Diff line number Diff line change @@ -224,7 +224,6 @@ lemma finsuppScalarLeft_apply_tmul (p : ι →₀ R) (n : N) :
224224 rw [Finsupp.sum_eq_single i (fun _ _ => Finsupp.single_eq_of_ne) (fun _ => by simp)]
225225 simp only [Finsupp.single_eq_same]
226226
227- @[simp]
228227lemma finsuppScalarLeft_apply (pn : (ι →₀ R) ⊗[R] N) (i : ι) :
229228 finsuppScalarLeft pn i = TensorProduct.lid R N ((Finsupp.lapply i).rTensor N pn) := by
230229 simp [finsuppScalarLeft, finsuppLeft_apply]
@@ -260,7 +259,6 @@ lemma finsuppScalarRight_apply_tmul (m : M) (p : ι →₀ R) :
260259 rw [Finsupp.sum_eq_single i (fun _ _ => Finsupp.single_eq_of_ne) (fun _ => by simp)]
261260 simp only [Finsupp.single_eq_same]
262261
263- @[simp]
264262lemma finsuppScalarRight_apply (t : M ⊗[R] (ι →₀ R)) (i : ι) :
265263 finsuppScalarRight t i = TensorProduct.rid R M ((Finsupp.lapply i).lTensor M t) := by
266264 simp [finsuppScalarRight, finsuppRight_apply]
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