Theorems · Theorem · general topology
Dilation.ext
∀ {α : Type u_1} {β : Type u_2} [inst : PseudoEMetricSpace α] [inst_1 : PseudoEMetricSpace β] {f g : α →ᵈ β},
(∀ (x : α), f x = g x) → f = g- Defined in
- Mathlib.Topology.MetricSpace.Dilation
- Cited by
- 8 results in Mathlib
- Foundations
- Depth 152 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
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
- PseudoEMetricSpacestatement and proof · cited by 1,536
- DFunLike.extproof · cited by 240
- Dilationstatement and proof · cited by 44
Cited by8
Results whose statement or proof uses this declaration.
- Dilation.ext_iffproof · cited by 1
- Dilation.cancel_leftproof · cited by 0
- Dilation.cancel_rightproof · cited by 0
- Dilation.id_compproof · cited by 0
- Dilation.comp_idproof · cited by 0
- Dilation.mk_coeproof · cited by 0
- Dilation.mk_coe_of_dist_eqproof · cited by 0
- Dilation.mk_coe_of_nndist_eqproof · cited by 0