Declaration
dot_add_left
Mathlib.Vector.Dot
Packages
2
Module
63
Theorems
750
Declarations
1016
Untrusted sidecar
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Statement
forall (u : Vec), forall (v : Vec), forall (w : Vec), @Eq.{1} RingElem (dot (vec_add u v) w) (add (dot u w) (dot v w))
Proof term
fun u => fun v => fun w => @Eq.refl.{1} RingElem (dot (vec_add u v) w)
Constants
Mathlib.Algebra.Ring.RingElem
Interface hash: sha256:29d995d6a38e44a010f577d64428b3272226781f7982e2306784cb3bdc4977ea
Mathlib.Algebra.Ring.add
Interface hash: sha256:70894d2717280dc0e45d28bdc4220a44c51506cccc224ab1f339c97d87eedd41
Mathlib.Vector.Basic.Vec
Interface hash: sha256:bc9e713ccaaae78bf5ef428fe3455d47b8f8432e58b79a82bf806866b713e287
Mathlib.Vector.Basic.vec_add
Interface hash: sha256:24f3c880ceca68e123a5fd883a7f48e39bd3b88832ec2f579c0879e2532bad2e
Mathlib.Vector.Dot.dot
Interface hash: sha256:98e85b682ad6b2c6a8f2d8865f42ae643087bbcc15c7cfc9ea061cede03ad156
Std.Logic.Eq.Eq
Interface hash: sha256:ca4f8520fd678a809c3ebf0bc7fa38d3063ca4d231e79d567de888685449a015