ContinuousAffineMap.coe_contLinear_eq_linear
∀ {R : Type u_1} {V : Type u_2} {W : Type u_3} {P : Type u_4} {Q : Type u_5} [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 Q] [inst_8 : AddTorsor W Q] [inst_9 : TopologicalSpace V]
[inst_10 : IsTopologicalAddTorsor P] [inst_11 : TopologicalSpace W] [inst_12 : IsTopologicalAddTorsor Q]
(f : P →ᴬ[R] Q), ↑f.contLinear = (↑f).linear- Cited by
- 1 results in Mathlib
- Foundations
- Depth 81 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites13
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
- LinearMapstatement · cited by 10,215
- Ringstatement and proof · cited by 7,463
- AddTorsorstatement and proof · cited by 1,657
- ContinuousLinearMap.toLinearMapstatement · cited by 528
- ContinuousAffineMapstatement and proof · cited by 263
- AffineMap.linearstatement · cited by 105
- IsTopologicalAddTorsorstatement and proof · cited by 80
- ContinuousAffineMap.contLinearstatement · cited by 45
Cited by1
Results whose statement or proof uses this declaration.
- ContinuousAffineMap.contLinear_eq_zero_iff_exists_constproof · cited by 0