Theorems · Theorem · general topology
AffineSubspace.coe_ofEq_apply
∀ {R : Type u_1} {V : Type u_2} {P : Type u_3} [inst : Ring R] [inst_1 : AddCommGroup V] [inst_2 : Module R V]
[inst_3 : TopologicalSpace P] [inst_4 : AddTorsor V P] {s t : AffineSubspace R P} [inst_5 : Nonempty ↥s]
[inst_6 : Nonempty ↥t] (h : s = t) (x : ↥s), ↑((AffineSubspace.ofEq h) x) = ↑x- Defined in
- Mathlib.Topology.Algebra.AffineSubspace
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 70 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites12
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · 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
- Submodulestatement · cited by 7,192
- AddTorsorstatement and proof · cited by 1,657
- AffineSubspacestatement and proof · cited by 871
- AffineSubspace.directionstatement · cited by 339
- ContinuousAffineEquivstatement · cited by 90
- AffineSubspace.ofEqstatement · cited by 7
- AffineEquiv.coe_ofEq_applyproof · cited by 1
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