2 Added "easy"
source | link

Locality, specifically Bell locality, is the hypothesis that the outcome of a given measurement is pre-determined by information that was present within its past light-cone.

(Beware that the word "locality" is also used with different meanings, such as Einstein locality, which refers to the hypothesis that observables localized in spacelike-separated regions commute with each other. Quantum field theory satisfies Einstein locality but not Bell locality. Einstein locality is enough to preclude faster-than-light communication.)

Non-contextuality is the hypothesis that the outcome of one measurement does not depend on whatever else is also being measured.

(Bell) locality can be regarded as a special case of non-contextuality, in which non-contextuality is assumed for space-like separated measurements but not necessarily for others.

The CHSH inequality can be derived using either Bell locality or non-contextuality. AAn easy derivation from non-contextuality is shown in https://physics.stackexchange.com/a/446977. Nature does not respect the CHSH inequality (or other Bell inequalities), and quantum theory correctly predicts the observed violations.

Locality, specifically Bell locality, is the hypothesis that the outcome of a given measurement is pre-determined by information that was present within its past light-cone.

(Beware that the word "locality" is also used with different meanings, such as Einstein locality, which refers to the hypothesis that observables localized in spacelike-separated regions commute with each other. Quantum field theory satisfies Einstein locality but not Bell locality. Einstein locality is enough to preclude faster-than-light communication.)

Non-contextuality is the hypothesis that the outcome of one measurement does not depend on whatever else is also being measured.

(Bell) locality can be regarded as a special case of non-contextuality, in which non-contextuality is assumed for space-like separated measurements but not necessarily for others.

The CHSH inequality can be derived using either Bell locality or non-contextuality. A derivation from non-contextuality is shown in https://physics.stackexchange.com/a/446977. Nature does not respect the CHSH inequality (or other Bell inequalities), and quantum theory correctly predicts the observed violations.

Locality, specifically Bell locality, is the hypothesis that the outcome of a given measurement is pre-determined by information that was present within its past light-cone.

(Beware that the word "locality" is also used with different meanings, such as Einstein locality, which refers to the hypothesis that observables localized in spacelike-separated regions commute with each other. Quantum field theory satisfies Einstein locality but not Bell locality. Einstein locality is enough to preclude faster-than-light communication.)

Non-contextuality is the hypothesis that the outcome of one measurement does not depend on whatever else is also being measured.

(Bell) locality can be regarded as a special case of non-contextuality, in which non-contextuality is assumed for space-like separated measurements but not necessarily for others.

The CHSH inequality can be derived using either Bell locality or non-contextuality. An easy derivation from non-contextuality is shown in https://physics.stackexchange.com/a/446977. Nature does not respect the CHSH inequality (or other Bell inequalities), and quantum theory correctly predicts the observed violations.

1
source | link

Locality, specifically Bell locality, is the hypothesis that the outcome of a given measurement is pre-determined by information that was present within its past light-cone.

(Beware that the word "locality" is also used with different meanings, such as Einstein locality, which refers to the hypothesis that observables localized in spacelike-separated regions commute with each other. Quantum field theory satisfies Einstein locality but not Bell locality. Einstein locality is enough to preclude faster-than-light communication.)

Non-contextuality is the hypothesis that the outcome of one measurement does not depend on whatever else is also being measured.

(Bell) locality can be regarded as a special case of non-contextuality, in which non-contextuality is assumed for space-like separated measurements but not necessarily for others.

The CHSH inequality can be derived using either Bell locality or non-contextuality. A derivation from non-contextuality is shown in https://physics.stackexchange.com/a/446977. Nature does not respect the CHSH inequality (or other Bell inequalities), and quantum theory correctly predicts the observed violations.