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Theorems · Theorem · functional analysis

Submodule.reflection_sub

∀ {F : Type u_3} [inst : NormedAddCommGroup F] [inst_1 : InnerProductSpace ℝ F] {v w : F},
  ‖v‖ = ‖w‖ → (ℝ ∙ (v - w))ᗮ.reflection v = w
Defined in
Mathlib.Analysis.InnerProductSpace.Projection.Reflection
Cited by
1 results in Mathlib
Foundations
Depth 187 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
NormedAddCommGroupInnerProductSpace

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