Theorems · Theorem · functional analysis
Submodule.IsOrtho.mono_right
∀ {𝕜 : Type u_1} {E : Type u_2} [inst : RCLike 𝕜] [inst_1 : NormedAddCommGroup E] [inst_2 : InnerProductSpace 𝕜 E]
{U V₁ V₂ : Submodule 𝕜 E}, V₂ ≤ V₁ → U ⟂ V₁ → U ⟂ V₂- Cited by
- 2 results in Mathlib
- Foundations
- Depth 168 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- NormedAddCommGroupstatement and proof · cited by 15,752
- Submodulestatement and proof · cited by 7,192
- InnerProductSpacestatement and proof · cited by 3,523
- RCLikestatement and proof · cited by 2,829
- Submodule.IsOrthostatement and proof · cited by 50
- Submodule.IsOrtho.symmproof · cited by 8
- Submodule.IsOrtho.mono_leftproof · cited by 3
Cited by2
Results whose statement or proof uses this declaration.
- Affine.Simplex.vectorSpan_isOrtho_altitude_directionproof · cited by 2
- Submodule.IsOrtho.monoproof · cited by 0