corollaries
Theorems that follow
Corollaries are consequences that follow naturally from something already established.
In logic and mathematics, a corollary is a proposition that flows directly from a proven theorem without needing separate proof.
More broadly, corollaries are inevitable byproducts or secondary results: The corollaries of the new policy included longer wait times and increased paperwork.
Singular: corollary.
Results following an event
- outcomeFinal result of events
- resultWhat follows a cause
- effectResult of a cause
- repercussionIndirect result of action
ramification · upshot · fallout · impact · byproduct · offshoot · side-effect · aftereffect
Conclusion from premises
- reasoningDrawing logical conclusions
- conclusionEnd or deduction
- theoremDemonstrated logical conclusion
- propositionStatement expressing a judgment
syllogism · derivation · extrapolation · implication · entailment · conjecture · postulate · axiom
Demonstrated logical conclusion
- lemmaBase form, or helper theorem
- propositionStatement expressing a judgment
- proofDemonstration of truth
- axiomSelf-evident starting principle
postulate · derivation · geometry · Euclidean · congruence · triangle · angle · parallel
aftermath
Results following an event
repercussion · ramification · upshot · fallout · impact · byproduct · offshoot · side-effect · aftereffect · sequel
deduction
Conclusion from premises
- reasoningDrawing logical conclusions
- conclusionEnd or deduction
- theoremDemonstrated logical conclusion
proposition · syllogism · derivation · extrapolation · implication · entailment · conjecture · postulate · axiom · premise
theorem
Demonstrated logical conclusion
- lemmaBase form, or helper theorem
- propositionStatement expressing a judgment
- proofDemonstration of truth
axiom · postulate · derivation · geometry · Euclidean · congruence · triangle · angle · parallel · perpendicular
- Greek mathematicsEuclid, Archimedes, Pythagoras, geometry, theorem
- logic termsif, then, valid, premises, and
- formal systemsformal logic, axioms, postulates, derivation, proofs
- geometryangles, circles, angle, shapes, lines
- math historyEuclid, Pythagoras, Newton, Leibniz, Euler
- technical textshandbooks, manuals, textbooks, reference books, treatises
corollariesaxioms
Accepted starting principles
premises · postulates · assumptions · presuppositions · first principles
corollariesaxioms
Accepted starting principles
self-evident truths · articles of faith · postulates · dogmas · intuitions