Category:Biconditional
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This category contains results about the biconditional operator.
Definitions specific to this category can be found in Definitions/Biconditional.
The biconditional is a binary connective:
- $p \iff q$
defined as:
- $\paren {p \implies q} \land \paren {q \implies p}$
That is:
- If $p$ is true, then $q$ is true, and if $q$ is true, then $p$ is true.
Subcategories
This category has the following 21 subcategories, out of 21 total.
B
- Biconditional Elimination (9 P)
- Biconditional Introduction (6 P)
- Biconditional is Associative (2 P)
- Biconditional is Commutative (5 P)
- Biconditional is Reflexive (3 P)
- Biconditional is Transitive (4 P)
- Biconditional with Tautology (3 P)
E
- Examples of Biconditional (2 P)
N
R
- Rule of Material Equivalence (7 P)
Pages in category "Biconditional"
The following 33 pages are in this category, out of 33 total.
B
- Biconditional as Disjunction of Conjunctions
- Biconditional Elimination
- Biconditional Equivalent to Biconditional of Negations
- Biconditional iff Disjunction implies Conjunction
- Biconditional in terms of NAND
- Biconditional Introduction
- Biconditional is Associative
- Biconditional is Commutative
- Biconditional is Reflexive
- Biconditional is Self-Inverse
- Biconditional is Transitive
- Biconditional of Proposition and its Negation
- Biconditional Properties
- Biconditional with Contradiction
- Biconditional with Factor of Biconditional
- Biconditional with Itself
- Biconditional with Tautology
- Binary Logical Connectives with Inverse
C
N
- Non-Equivalence
- Non-Equivalence as Conjunction of Disjunction with Disjunction of Negations
- Non-Equivalence as Conjunction of Disjunction with Negation of Conjunction
- Non-Equivalence as Disjunction of Conjunctions
- Non-Equivalence as Disjunction of Negated Conditionals
- Non-Equivalence as Equivalence with Negation
- Non-Equivalence of Proposition and Negation/Formulation 2