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theorema

Theorema is a software framework for formalizing mathematical knowledge and conducting interactive proofs. It is designed to work within the Mathematica ecosystem and provides a language and environment for defining mathematical objects, stating definitions and theorems, and developing proofs. Theorema emphasizes executable mathematics and aims to keep proofs readable and well-documented alongside their formal content.

Theorema incorporates a formal deduction core that supports natural deduction and sequent-calculus-style reasoning. Users interact with

Historically, Theorema emerged as an academic project to bring formal mathematical reasoning into a computational notebook

Theorema is part of a broader ecosystem of interactive theorem-proving tools, with peers such as Coq, Isabelle,

a
notebook-like
interface
to
build
proof
scripts,
manage
assumptions,
and
organize
results
within
structured
knowledge
bases
containing
definitions,
lemmas,
theorems,
and
proof
steps.
The
system
emphasizes
traceable
reasoning,
allowing
proof
exploration,
step-by-step
checking,
and
reuse
of
previously
proved
results.
environment.
Over
its
development,
it
evolved
through
multiple
versions
to
improve
proof
management,
user
guidance,
and
the
integration
of
formal
methods
with
the
Mathematica
platform.
It
has
been
employed
in
teaching
to
illustrate
formal
reasoning
and
in
research
to
study
proof
strategies
and
knowledge
representation
in
mathematics.
and
HOL.
Its
distinguishing
focus
is
the
combination
of
a
formal
proof
assistant
with
a
notebook-style
interface
and
a
strong
emphasis
on
readable,
executable
mathematical
content
and
documentation,
aimed
at
both
educational
and
research
applications.