Theorems · Theorem · general topology
Function.locallyFinsuppWithin.single_zero
∀ {X : Type u_1} [inst : TopologicalSpace X] {Y : Type u_2} [inst_1 : DecidableEq X] [inst_2 : Zero Y] {x : X},
Function.locallyFinsuppWithin.single x 0 = 0Simplifier lemma: single x 0 is zero.
- Defined in
- Mathlib.Topology.LocallyFinsupp
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 69 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
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
- Set.univstatement · cited by 3,945
- Function.locallyFinsuppstatement · cited by 43
- Function.locallyFinsuppWithin.extproof · cited by 24
- Function.locallyFinsuppWithin.singlestatement · cited by 18
- Function.locallyFinsuppWithin.single_applyproof · cited by 8
Cited by1
Results whose statement or proof uses this declaration.
- Function.locallyFinsuppWithin.sum_apply_smul_single_eq_selfproof · cited by 0