Weak Mathematical Induction
Weak induction proves a statement for natural numbers by assuming it's true…
Strong Mathematical Induction
Strong induction strengthens the inductive hypothesis, allowing the assumption that the proposition…
Inductive Step in Mathematical Induction
The inductive step of a proof by induction demonstrates that if a…
Induction on Well-Formed Formulas
A formal logic and mathematics proof technique. It verifies properties for basic…
Indirect Proof
An indirect proof, also known as proof by contradiction, involves assuming the…
Contraposition in Logic
Contraposition is a logical principle establishing the equivalence between a conditional statement…
Basis Step in Mathematical Induction
The basis step, or base case, is the foundational element of a…