Theorems · Theorem · general topology
Isometry.isometry_mapRingHom
∀ {α : Type u} {β : Type v} [inst : PseudoMetricSpace α] [inst_1 : Ring α] [inst_2 : IsTopologicalRing α]
[inst_3 : IsUniformAddGroup α] [inst_4 : Ring β] [inst_5 : PseudoMetricSpace β] [inst_6 : IsUniformAddGroup β]
[inst_7 : IsTopologicalRing β] {f : α →+* β} (h : Isometry ⇑f), Isometry ⇑h.mapRingHom- Defined in
- Mathlib.Topology.MetricSpace.Completion
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 160 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites26
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- RingHomstatement and proof · cited by 10,189
- Ringstatement and proof · cited by 7,463
- PseudoMetricSpacestatement and proof · cited by 1,550
- Dist.distproof · cited by 1,539
- IsTopologicalRingstatement and proof · cited by 402
- Continuous.compproof · cited by 371
- IsUniformAddGroupstatement and proof · cited by 342
- continuous_id'proof · cited by 295
- Isometrystatement and proof · cited by 230
- UniformSpace.Completionstatement and proof · cited by 192
- continuous_fstproof · cited by 103
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