Support

v.kind, hopefulwarm

Meaning 1

To give practical help, strength, or encouragement.

Reach for it when describing assistance that helps a person, group, or effort continue

Local cooks support the pantry with prepared meals.

everyday
help
when direct assistance is the simple point
not when Help can be a one-time act, while support often continues or underpins.
warm
encourage
when confidence and motivation are the needed help
not when Encouragement cannot replace material or technical support.
professional
assist
when someone contributes to another person's task
not when Assist usually leaves the main responsibility with someone else.
formal
sustain
when resources or strength keep something going over time
not when Initial encouragement can support a person without sustaining the whole effort.

To approve, defend, or provide evidence for a position.

Reach for it when expressing endorsement or evidential backing for a proposal or claim

The survey results support a later closing time.

everyday
back
when visible loyalty or resources stand behind someone
not when Back can sound partisan; it may rest on loyalty rather than evidence.
professional
corroborate
when independent evidence confirms a statement
not when People and causes need support, but they are not corroborated.
professional
endorse
when formal approval is explicitly given
not when Evidence supports a claim without formally endorsing it.
formal
uphold
when a rule, principle, or decision is defended and maintained
not when A new proposal may be supported before any duty exists to uphold it.

support a family
The grant will support a family while their home is repaired.
support the proposal
Three neighborhood groups support the proposal for safer crossings.
evidence supports
The new evidence supports a simpler explanation for the fault.

The definition and the example on this page are written here. The dictionaries above ground which meaning is being described, not the wording.