Category:Rule of Transposition
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This category contains pages concerning Rule of Transposition:
Formulation 1
A statement and its contrapositive have the same truth value:
- $p \implies q \dashv \vdash \neg q \implies \neg p$
Its abbreviation in a tableau proof is $\textrm {TP}$.
Formulation 2
- $\vdash \paren {p \implies q} \iff \paren {\neg q \implies \neg p}$
Pages in category "Rule of Transposition"
The following 40 pages are in this category, out of 40 total.
R
- Rule of Transposition/Formulation 1
- Rule of Transposition/Formulation 1/Forward Implication
- Rule of Transposition/Formulation 1/Forward Implication/Proof
- Rule of Transposition/Formulation 1/Proof 1
- Rule of Transposition/Formulation 1/Proof by Truth Table
- Rule of Transposition/Formulation 1/Reverse Implication
- Rule of Transposition/Formulation 1/Reverse Implication/Proof
- Rule of Transposition/Formulation 2
- Rule of Transposition/Formulation 2/Forward Implication/Proof
- Rule of Transposition/Formulation 2/Proof 1
- Rule of Transposition/Formulation 2/Proof by Truth Table
- Rule of Transposition/Formulation 2/Reverse Implication/Proof
- Rule of Transposition/Variant 1
- Rule of Transposition/Variant 1/Formulation 1
- Rule of Transposition/Variant 1/Formulation 1/Forward Implication
- Rule of Transposition/Variant 1/Formulation 1/Forward Implication/Proof
- Rule of Transposition/Variant 1/Formulation 1/Proof 1
- Rule of Transposition/Variant 1/Formulation 1/Proof 2
- Rule of Transposition/Variant 1/Formulation 1/Reverse Implication
- Rule of Transposition/Variant 1/Formulation 1/Reverse Implication/Proof
- Rule of Transposition/Variant 1/Formulation 2
- Rule of Transposition/Variant 1/Formulation 2/Forward Implication
- Rule of Transposition/Variant 1/Formulation 2/Forward Implication/Proof
- Rule of Transposition/Variant 1/Formulation 2/Proof
- Rule of Transposition/Variant 1/Formulation 2/Reverse Implication
- Rule of Transposition/Variant 1/Formulation 2/Reverse Implication/Proof
- Rule of Transposition/Variant 2
- Rule of Transposition/Variant 2/Formulation 1
- Rule of Transposition/Variant 2/Formulation 1/Forward Implication
- Rule of Transposition/Variant 2/Formulation 1/Forward Implication/Proof
- Rule of Transposition/Variant 2/Formulation 1/Proof 1
- Rule of Transposition/Variant 2/Formulation 1/Proof by Truth Table
- Rule of Transposition/Variant 2/Formulation 1/Reverse Implication
- Rule of Transposition/Variant 2/Formulation 1/Reverse Implication/Proof
- Rule of Transposition/Variant 2/Formulation 2
- Rule of Transposition/Variant 2/Formulation 2/Forward Implication
- Rule of Transposition/Variant 2/Formulation 2/Forward Implication/Proof
- Rule of Transposition/Variant 2/Formulation 2/Proof
- Rule of Transposition/Variant 2/Formulation 2/Reverse Implication
- Rule of Transposition/Variant 2/Formulation 2/Reverse Implication/Proof