ContinuousAffineMap.mk_coe
∀ {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] (f : P →ᴬ[R] Q)
(h : Continuous (↑f).toFun), { toAffineMap := ↑f, cont := h } = f- Cited by
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- Foundations
- Depth 30 from the axioms · uses 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.
- DFunLike.coeproof · cited by 62,936
- TopologicalSpacestatement and proof · cited by 24,529
- Modulestatement and proof · cited by 20,661
- AddCommGroupstatement and proof · cited by 12,871
- Ringstatement and proof · cited by 7,463
- Continuousstatement and proof · cited by 2,592
- AddTorsorstatement and proof · cited by 1,657
- ContinuousAffineMapstatement and proof · cited by 263
- ContinuousAffineMap.toAffineMapstatement and proof · cited by 28
- AffineMap.toFunstatement and proof · cited by 15
- ContinuousAffineMap.extproof · cited by 8
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