Theorems · Theorem · functional analysis
ClosedSubmodule.mulI_sup
∀ {H : Type u_1} [inst : NormedAddCommGroup H] [ipc : InnerProductSpace ℂ H] (S T : ClosedSubmodule ℝ H),
(S ⊔ T).mulI = S.mulI ⊔ T.mulI- Cited by
- 1 results in Mathlib
- Foundations
- Depth 176 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites11
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- 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.mulIstatement and proof · cited by 16
- ClosedSubmodule.mapEquivproof · cited by 11
- scalarSMulCLEproof · cited by 7
- Complex.UnitIproof · cited by 6
- ClosedSubmodule.mapEquiv_sup_eqproof · cited by 1
Cited by1
Results whose statement or proof uses this declaration.
- ClosedSubmodule.symplComp_supproof · cited by 0