Theorems · Theorem · general topology
Function.locallyFinsuppWithin.single_pos
∀ {X : Type u_1} [inst : TopologicalSpace X] {Y : Type u_2} [inst_1 : DecidableEq X] [inst_2 : Zero Y]
[inst_3 : Preorder Y] {x : X} {y : Y}, 0 < Function.locallyFinsuppWithin.single x y ↔ 0 < y- Defined in
- Mathlib.Topology.LocallyFinsupp
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 70 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- TopologicalSpacestatement and proof · cited by 24,529
- Preorderstatement and proof · cited by 7,952
- Set.univstatement · cited by 3,945
- Function.locallyFinsuppstatement · cited by 43
- Function.locallyFinsuppWithin.singlestatement · cited by 18
- Function.locallyFinsuppWithin.coe_singleproof · cited by 2
- Pi.single_posproof · cited by 1
- Function.locallyFinsuppWithin.lt_defproof · cited by 1
Cited by3
Results whose statement or proof uses this declaration.
- Function.locallyFinsuppWithin.zero_iff_logCounting_boundedproof · cited by 1
- Function.locallyFinsuppWithin.single_pos_int_oneproof · cited by 0
- Function.locallyFinsuppWithin.single_pos_nat_oneproof · cited by 0