Theorems · Theorem · functional analysis
ClosedSubmodule.mulI_symplComp
∀ {H : Type u_1} [inst : NormedAddCommGroup H] [ipc : InnerProductSpace ℂ H] {S : ClosedSubmodule ℝ H},
S.symplComp.mulI = S.mulI.symplComp- Cited by
- 1 results in Mathlib
- Foundations
- Depth 185 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Realstatement and proof · cited by 25,697
- NormedAddCommGroupstatement and proof · cited by 15,752
- Complexstatement and proof · cited by 5,565
- InnerProductSpacestatement and proof · cited by 3,523
- ClosedSubmodulestatement and proof · cited by 123
- ClosedSubmodule.orthogonalproof · cited by 32
- ClosedSubmodule.mulIstatement and proof · cited by 16
- ClosedSubmodule.symplCompstatement and proof · cited by 7
- ClosedSubmodule.mulI_orthogonal_eq_symplCompproof · cited by 2
Cited by1
Results whose statement or proof uses this declaration.
- ClosedSubmodule.symplComp_symplComp_eqproof · cited by 1