Equivalence and Negation

Equivalence chart

Must Could

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Cannot Not necessarily

Negation chart

Must <> not necessarily

Cannot <> could

Must be true

Equivalent

Cannot be false

Could be true

Equivalent

not necessarily false

Cannot be True

Equivalent

Must be false

Not necessarily true

Equivalent

Could be false

Must be false

Equivalent

Cannot be true

Could be false

Equivalent

Not necessarily true

Cannot be false

Equivalent

Must be true

Not necessarily false

Equivalent

Could be true

Must be true

Negation

Not necessarily true

Not necessarily true

Negation

Must be true

Could be true

Negation

Cannot be true

Cannot be true

Negation

Could be true

Must be false

Negation

Not necessarily false

Not necessarily false

Negation

Must be false

Could be false

Negation

Cannot be false

Cannot be false

Negation

Could be false