A _______________ is a statement that has been deductively proven, and can be used as a reason in future proof

Question

A _______________ is a statement that has been deductively proven, and can be used as a reason in future proofs

Answer 1

theorem

(Axiom's are unproven assumptions, Statements can be true, but have not been proven)

Theorem's are statements that have been proven based only on axiom's or other theorems that were proven from axioms.

An answer below states lemma, which is also true. The distinction between lemmas and theorems is subjective, but basically a lemma as a theorem that is not considered an "important" result by itself, but is a key conclusion on the way to an important result. Both lemmas and theorems fit your definition. They have both been proven deductively and can both be used in future proofs.

Answer 2

Lemma may refer to:

Look up Lemma in
Wiktionary, the free dictionary.Lemma (mathematics), a proven statement used as a stepping-stone toward the proof of another statement
Lemma (linguistics), the canonical form of a word
Lemma (logic), which is simultaneously a premise for a contention above it and a contention for premises below it
Shadowing lemma, a fictional animal in Terry Pratchett's Discworld series, which exists in only 2 dimensions and eats mathematicians

Answer 3

Theorem

Answer 4

Theorem.

Answer 5

theorem