Theorems · Theorem · geometry

AffineSubspace.prod_bot_left

∀ {k : Type u_1} {V : Type u_2} {W : Type u_3} {P : Type u_4} {Q : Type u_5} [inst : Ring k] [inst_1 : AddCommGroup V]
  [inst_2 : Module k V] [inst_3 : AddTorsor V P] [inst_4 : AddCommGroup W] [inst_5 : Module k W]
  [inst_6 : AddTorsor W Q] (t : AffineSubspace k P), ⊥.prod t = ⊥

Defined in: Mathlib.LinearAlgebra.AffineSpace.AffineSubspace.Basic
Cited by: 1 results in Mathlib
Foundations: Depth 64 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: Ring AddCommGroup Module AddTorsor AddCommGroup Module AddTorsor

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Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Modulestatement and proof · cited by 20,661
AddCommGroupstatement and proof · cited by 12,871
Ringstatement and proof · cited by 7,463
Bot.botstatement and proof · cited by 4,720
AddTorsorstatement and proof · cited by 1,657
AffineSubspacestatement and proof · cited by 871
Set.empty_prodproof · cited by 14
AffineSubspace.prodstatement and proof · cited by 10

Cited by1

Results whose statement or proof uses this declaration.

affineSpan_prod_eqproof · cited by 1