Theorems · Theorem · general topology
Specializes.prod
∀ {X : Type u_1} {Y : Type u_2} [inst : TopologicalSpace X] [inst_1 : TopologicalSpace Y] {x₁ x₂ : X} {y₁ y₂ : Y},
x₁ ⤳ x₂ → y₁ ⤳ y₂ → (x₁, y₁) ⤳ (x₂, y₂)- Defined in
- Mathlib.Topology.Inseparable
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 77 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites3
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
- Specializesstatement and proof · cited by 176
- specializes_prodproof · cited by 3
Cited by2
Results whose statement or proof uses this declaration.
- Specializes.smulproof · cited by 1
- Specializes.vaddproof · cited by 1