Theorems · Theorem · general topology
Metric.PiNatEmbed.forall
∀ {ι : Type u_2} {X : Type u_3} {Y : ι → Type u_4} {f : (i : ι) → X → Y i} {P : Metric.PiNatEmbed X Y f → Prop},
(∀ (x : Metric.PiNatEmbed X Y f), P x) ↔ ∀ (x : X), P { ofPiNat := x }- Defined in
- Mathlib.Topology.MetricSpace.PiNat
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 17 from the axioms · uses Quot.sound
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- Equiv.symmproof · cited by 3,681
- Equiv.forall_congr_leftproof · cited by 41
- Metric.PiNatEmbedstatement and proof · cited by 20
- Metric.PiNatEmbed.toPiNatEquivproof · cited by 5
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