Theorems · Theorem · operator theory
IsCompactOperator.neg
∀ {M₁ : Type u_3} {M₄ : Type u_5} [inst : TopologicalSpace M₁] [inst_1 : AddCommMonoid M₁]
[inst_2 : TopologicalSpace M₄] [inst_3 : AddCommGroup M₄] [ContinuousNeg M₄] {f : M₁ → M₄},
IsCompactOperator f → IsCompactOperator (-f)- Cited by
- 1 results in Mathlib
- Foundations
- Depth 73 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites12
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setproof · cited by 53,352
- TopologicalSpacestatement and proof · cited by 24,529
- AddCommGroupstatement and proof · cited by 12,871
- AddCommMonoidstatement and proof · cited by 12,281
- nhdsproof · cited by 5,554
- Set.preimageproof · cited by 4,946
- IsCompactproof · cited by 1,282
- Filter.mem_of_supersetproof · cited by 308
- ContinuousNegstatement and proof · cited by 119
- IsCompactOperatorstatement and proof · cited by 51
- Set.neg_mem_negproof · cited by 10
- IsCompact.negproof · cited by 8
Cited by1
Results whose statement or proof uses this declaration.
- IsCompactOperator.subproof · cited by 0