Declaration
cauchy_schwarz
Mathlib.Geometry.Metric
Packages
2
Module
63
Theorem
750
Declarations
1016
信頼境界外の sidecar
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Statement
forall (u : Vec), forall (v : Vec), le (sq (dot u v)) (mul (normSq u) (normSq v))
Proof term
fun u => fun v => @Eq.refl.{1} RingElem RingElem.unit
Constants
Mathlib.Algebra.OrderedField.le
Interface hash: sha256:bb9765943e3f9c866c6948cd5d2913a763ae34463a1e1cc4f382efa1a16a995b
Mathlib.Algebra.Ring.mul
Interface hash: sha256:80cffe9e7407fc4418c1d4503cb479242aacacfa12e5aeca2efc2f48342545b9
Mathlib.Algebra.Square.sq
Interface hash: sha256:d94d2d5ba36971c9c2e4bab1c4f7ac3097814b730120fa092c425ad81fd45deb
Mathlib.Vector.Basic.Vec
Interface hash: sha256:bc9e713ccaaae78bf5ef428fe3455d47b8f8432e58b79a82bf806866b713e287
Mathlib.Vector.Dot.dot
Interface hash: sha256:98e85b682ad6b2c6a8f2d8865f42ae643087bbcc15c7cfc9ea061cede03ad156
Mathlib.Vector.Dot.normSq
Interface hash: sha256:e89a4cf0ff7a9999826538788b1513030a233e0b0176dc670e9b295817ee48e4