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Mathlib/Algebra/Category/ModuleCat/Subobject.lean

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@@ -85,7 +85,6 @@ theorem toKernelSubobject_arrow {M N : ModuleCat R} {f : M ⟶ N} (x : LinearMap
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suffices ((arrow ((kernelSubobject f))) ∘ (kernelSubobjectIso f ≪≫ kernelIsoKer f).inv) x = x by
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convert this
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rw [Iso.trans_inv, ← LinearMap.coe_comp, ← hom_comp, Category.assoc]
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simp only [Category.assoc, kernelSubobject_arrow', kernelIsoKer_inv_kernel_ι]
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simp
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/-- An extensionality lemma showing that two elements of a cokernel by an image

Mathlib/Data/Matrix/ColumnRowPartitioned.lean

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@@ -125,8 +125,7 @@ lemma fromRows_toRows (A : Matrix (m₁ ⊕ m₂) n R) : fromRows A.toRows₁ A.
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lemma fromRows_inj : Function.Injective2 (@fromRows R m₁ m₂ n) := by
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intros x1 x2 y1 y2
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simp only [funext_iff, ← Matrix.ext_iff]
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simp
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simp [← Matrix.ext_iff]
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lemma fromCols_inj : Function.Injective2 (@fromCols R m n₁ n₂) := by
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intros x1 x2 y1 y2

Mathlib/LinearAlgebra/Semisimple.lean

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@@ -73,8 +73,7 @@ lemma isSemisimple_iff' :
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lemma isSemisimple_iff :
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f.IsSemisimple ↔ ∀ p ∈ invtSubmodule f, ∃ q ∈ invtSubmodule f, IsCompl p q := by
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simp_rw [isSemisimple_iff']
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simp
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simp [isSemisimple_iff']
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lemma isSemisimple_restrict_iff (p) (hp : p ∈ invtSubmodule f) :
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IsSemisimple (LinearMap.restrict f hp) ↔

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