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chore(library/logic/logic.md): adjust documentation

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Leonardo de Moura 2014-11-30 21:19:56 -08:00
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logic
=====
Logical constructions and axioms. By default, `import logic` does not
import any additional axioms.
Additional constructions and axioms. By default, `import logic` does not
import any axioms.
Logical operations and connectives.
* [prop](prop.lean) : the type Prop
* [eq](eq.lean) : equality and disequality
* [connectives](connectives.lean) : propositional connectives
* [eq](eq.lean) : additional theorems for equality and disequality
* [cast](cast.lean) : casts and heterogeneous equality
* [quantifiers](quantifiers.lean) : existential and universal quantifiers
* [if](if.lean) : if-then-else
* [identities](identities.lean) : some useful identities
Type classes for general logical manipulations:
* [inhabited](inhabited.lean) : inhabited types
* [nonempty](nonempty.lean) : nonempty type
* [decidable](decidable.lean) : decidable types
* [instances](instances.lean) : type class instances
Constructively, inhabited types have a witness, while nonempty types
are "proof irrelevant". Classically (assuming the axioms in
logic.axioms.hilbert) the two are equivalent. Type class inferences