From e2f0924489e6b36baa14779b36b9d9230fc337c5 Mon Sep 17 00:00:00 2001 From: Shing Tak Lam Date: Sun, 4 Sep 2022 07:59:51 +0100 Subject: [PATCH] Update src/analysis/inner_product_space/adjoint.lean MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit Co-authored-by: Frรฉdรฉric Dupuis <31101893+dupuisf@users.noreply.github.com> --- src/analysis/inner_product_space/adjoint.lean | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/src/analysis/inner_product_space/adjoint.lean b/src/analysis/inner_product_space/adjoint.lean index cbad153ea6f6f..88dba7d047011 100644 --- a/src/analysis/inner_product_space/adjoint.lean +++ b/src/analysis/inner_product_space/adjoint.lean @@ -103,7 +103,7 @@ linear_isometry_equiv.of_surjective localized "postfix (name := adjoint) `โ€ `:1000 := continuous_linear_map.adjoint" in inner_product -@[simp] lemma adjoint_apply (A : E โ†’L[๐•œ] F) (x : F) : +lemma adjoint_apply (A : E โ†’L[๐•œ] F) (x : F) : Aโ€  x = ((to_dual ๐•œ E).symm : (normed_space.dual ๐•œ E) โ†’ E) ((to_sesq_form A) x) := rfl /-- The fundamental property of the adjoint. -/