Theorems · Theorem · functional analysis
ClosedSubmodule.mulI_mulI_eq
∀ {H : Type u_1} [inst : NormedAddCommGroup H] [ipc : InnerProductSpace ℂ H] (S : ClosedSubmodule ℝ H), S.mulI.mulI = S- Cited by
- 2 results in Mathlib
- Foundations
- Depth 175 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites22
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
- Set.extproof · cited by 2,266
- one_smulproof · cited by 1,374
- neg_negproof · cited by 960
- Complex.Iproof · cited by 866
- neg_mulproof · cited by 654
- neg_smulproof · cited by 306
- smul_negproof · cited by 181
- ClosedSubmodulestatement and proof · cited by 123
Cited by2
Results whose statement or proof uses this declaration.
- ClosedSubmodule.symplComp_symplComp_eqproof · cited by 1
- ClosedSubmodule.involutive_mulIproof · cited by 0