We read every piece of feedback, and take your input very seriously.
To see all available qualifiers, see our documentation.
opNorm_subsingleton
1 parent 376f05e commit adb8e37Copy full SHA for adb8e37
Mathlib/Analysis/Normed/Operator/Basic.lean
@@ -356,11 +356,7 @@ end
356
variable [RingHomIsometric σ₁₂] (f : E →SL[σ₁₂] F)
357
358
@[simp, nontriviality]
359
-theorem opNorm_subsingleton [Subsingleton E] : ‖f‖ = 0 := by
360
- refine le_antisymm ?_ (norm_nonneg _)
361
- apply opNorm_le_bound _ rfl.ge
362
- intro x
363
- simp [Subsingleton.elim x 0]
+theorem opNorm_subsingleton [Subsingleton E] : ‖f‖ = 0 := norm_of_subsingleton f
364
365
/-- The fundamental property of the operator norm, expressed with extended norms:
366
`‖f x‖ₑ ≤ ‖f‖ₑ * ‖x‖ₑ`. -/
0 commit comments