Theorems · Theorem · general topology
ContinuousMap.lt_def
∀ {α : Type u_1} {β : Type u_2} [inst : TopologicalSpace α] [inst_1 : TopologicalSpace β] [inst_2 : PartialOrder β]
{f g : C(α, β)}, f < g ↔ (∀ (a : α), f a ≤ g a) ∧ ∃ a, f a < g a- Defined in
- Mathlib.Topology.ContinuousMap.Ordered
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 17 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites5
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
- PartialOrderstatement and proof · cited by 6,410
- ContinuousMapstatement and proof · cited by 2,491
- Pi.lt_defproof · cited by 25
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