ContinuousAffineMap.neg_contLinear
∀ {R : Type u_1} {V : Type u_2} {W : Type u_3} {P : Type u_4} [inst : Ring R] [inst_1 : AddCommGroup V]
[inst_2 : Module R V] [inst_3 : TopologicalSpace P] [inst_4 : AddTorsor V P] [inst_5 : AddCommGroup W]
[inst_6 : Module R W] [inst_7 : TopologicalSpace W] [inst_8 : IsTopologicalAddGroup W] [inst_9 : TopologicalSpace V]
[inst_10 : IsTopologicalAddTorsor P] (f : P →ᴬ[R] W), (-f).contLinear = -f.contLinear- Cited by
- 0 results in Mathlib
- Foundations
- Depth 81 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites11
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- TopologicalSpacestatement and proof · cited by 24,529
- Modulestatement and proof · cited by 20,661
- RingHom.idstatement · cited by 18,349
- AddCommGroupstatement and proof · cited by 12,871
- Ringstatement and proof · cited by 7,463
- ContinuousLinearMapstatement · cited by 5,352
- AddTorsorstatement and proof · cited by 1,657
- IsTopologicalAddGroupstatement and proof · cited by 1,394
- ContinuousAffineMapstatement and proof · cited by 263
- IsTopologicalAddTorsorstatement and proof · cited by 80
- ContinuousAffineMap.contLinearstatement · cited by 45
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