SUBDERIVATION Meaning and
Definition
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Subderivation refers to a specific process within the domain of formal logic or proof theory. It is a term used to describe the intermediate steps or subsidiary proofs that are employed to establish the validity of a larger or main proof. In other words, a subderivation is a subordinate or secondary derivation that plays a supporting role in the overall proof of a theorem or proposition.
In a subderivation, the logical rules and axioms of a deductive system are utilized to establish the validity of individual steps or statements. These individual steps, or subderivations, are then combined or sequenced in a specific order to create a complete derivation or proof for a given theorem. Each subderivation is essentially a self-contained unit that follows the logical principles and rules governing the particular deductive system.
Subderivations are important building blocks in the construction of a comprehensive proof because they provide the logical foundation upon which larger proofs are built. They contribute to the overall validity and coherence of the final proof by establishing the truth value of individual statements or steps. By carefully organizing and connecting subderivations in a valid and logical manner, mathematicians and logicians can demonstrate the truth or falsity of a mathematical statement or proposition.
Overall, subderivations serve as essential components in the process of proving theorems, enabling mathematicians to breakdown complex arguments into smaller and manageable steps that can be methodically analyzed and justified.
Common Misspellings for SUBDERIVATION
- aubderivation
- zubderivation
- xubderivation
- dubderivation
- eubderivation
- wubderivation
- sybderivation
- shbderivation
- sjbderivation
- sibderivation
- s8bderivation
- s7bderivation
- suvderivation
- sunderivation
- suhderivation
- sugderivation
- subserivation
- subxerivation
- subcerivation
- subferivation
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