Definitions
from Wiktionary, Creative Commons Attribution/ShareAlike License
 n. The hypothesis of an implication
 n. On a Karnaugh map: a set of 1's (whose quantity is a power of two) which are related by adjacency (i.e., the set is connected, if the Karnaugh map is considered to be a graph which "wraps around" its edges, like a torus; and, all elements of the subgraph induced by the set have the same degree). Equivalently (in terms of Boolean algebra), a product term which, when true, always implies that the given Boolean function is true.
Etymologies
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Examples

[5] The doctrine of St. Thomas Aquinas is 'Cum possit Deus omnia efficere quae esae possunt, non autem quae contradictionem implicant, omnipotens merito dicitur.'

* Deus potest omnia quae contradictionem non implicant.
The Practice of Piety: Directing a Christian How to Walk, that He May Please God.

[31] Deus potest omnia quae contradictionem non implicant.
The Practice of Piety: Directing a Christian How to Walk, that He May Please God.

Fundamentally, when considering content on the Internet (documents, images, music films, books etc) the prevailing sentiment is that this content is "free" and we have the implicant rights to share and distribute.

_Amiti_, 10. upon which if they sit they enwrap their Feathers, so that they cannot fly away, and fall down to the ground. quibus si insident, implicant pennas, ut nequeant avolare,

The unreapted_terms variable is the number of unrepeated terms (tha have only one X in its column), the strcmp function compares between each input (binary form) and each state of a prime implicant, at any condition they are equal, the prime implicant itself not a state of it copied to the ess_pri_imp array.

When we get these binaries, now we can compare each one of them to the binary form of the inputs to determine the term identical to the state of prime implicant.

As example if the prime implicant has one dash, so we got only two states (0 or 1), if it has two dashes, we got four states (00 or 01 or 10 or 11).

An implicant of a function is a product term that can be used in a SOP

A prime Implicant is an implicant which can not be contained in any other implicants.
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