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Theorems · Theorem · functional analysis

LinearIsometry.toSpanSingleton.congr_simp

∀ (𝕜 : Type u_1) (E : Type u_4) [inst : SeminormedAddCommGroup E] [inst_1 : NontriviallyNormedField 𝕜]
  [inst_2 : NormedSpace 𝕜 E] {v v_1 : E} (e_v : v = v_1) (hv : ‖v‖ = 1),
  LinearIsometry.toSpanSingleton 𝕜 E hv = LinearIsometry.toSpanSingleton 𝕜 E ⋯
Defined in
Mathlib.Analysis.InnerProductSpace.Subspace
Cited by
0 results in Mathlib
Foundations
Depth 122 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
SeminormedAddCommGroupNontriviallyNormedFieldNormedSpace
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Real · cited by 25697RealRingHom.id · cited by 18349RingHom.idNormedSpace · cited by 12499NormedSpaceNontriviallyNormedField · cited by 8742NontriviallyNormedFieldNorm.norm · cited by 5413Norm.normSeminormedAddCommGroup · cited by 2671SeminormedAddCommGroupLinearIsometry · cited by 194LinearIsometryLinearIsometry.toSpanSingleton · cited by 6LinearIsometry.toSpanSing…toSpanSingleton.congr_simpCITED BYCITES

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