type-theory/resources/VanDoornDissertation/lstlean.tex

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% Listing style definition for the Lean Theorem Prover.
% Defined by Jeremy Avigad, 2015, by modifying Assia Mahboubi's SSR style.
% Unicode replacements taken from Olivier Verdier's unixode.sty
\lstdefinelanguage{lean} {
% Anything betweeen $ becomes LaTeX math mode
mathescape=true,
% Comments may or not include Latex commands
texcl=false,
% keywords, list taken from lean-syntax.el
morekeywords=[1]{
import, prelude, tactic_hint, protected, private, noncomputable, definition, renaming,
hiding, exposing, parameter, parameters, begin, begin+, proof, qed, conjecture, constant, constants,
hypothesis, lemma, corollary, variable, variables, premise, premises, theory,
print, theorem, proposition, example, abbreviation, abstract,
open, as, export, override, axiom, axioms, inductive, with, structure, record, universe, universes,
alias, help, environment, options, precedence, reserve,
match, infix, infixl, infixr, notation, postfix, prefix,
tactic_infix, tactic_infixl, tactic_infixr, tactic_notation, tactic_postfix, tactic_prefix,
eval, check, coercion, end, reveal, this, suppose,
using, namespace, section, fields, find_decl,
attribute, local, set_option, extends, include, omit, classes,
instances, coercions, metaclasses, raw, migrate, replacing,
calc, have, obtains, show, suffices, by, by+, in, at, let, forall, Pi, fun,
exists, if, dif, then, else, assume, assert, take,
obtain, from, aliases
},
% Sorts
morekeywords=[2]{Type, Prop},
% tactics, list taken from lean-syntax.el
morekeywords=[3]{
Cond, or_else, then, try, when, assumption, eassumption, rapply,
apply, fapply, eapply, rename, intro, intros, all_goals, fold, focus, focus_at,
generalize, generalizes, clear, clears, revert, reverts, back, beta, done, exact, rexact,
refine, repeat, whnf, rotate, rotate_left, rotate_right, inversion, cases, rewrite,
xrewrite, krewrite, blast, simp, esimp, unfold, change, check_expr, contradiction,
exfalso, split, existsi, constructor, fconstructor, left, right, injection, congruence, reflexivity,
symmetry, transitivity, state, induction, induction_using, fail, append,
substvars, now, with_options, with_attributes, with_attrs, note
},
% modifiers, taken from lean-syntax.el
% note: 'otherkeywords' is needed because these use a different symbol.
% this command doesn't allow us to specify a number -- they are put with [1]
otherkeywords={
[persistent], [notation], [visible], [instance], [trans_instance],
[class], [parsing-only], [coercion], [unfold_full], [constructor],
[reducible], [irreducible], [semireducible], [quasireducible], [wf],
[whnf], [multiple_instances], [none], [decl], [declaration],
[relation], [symm], [subst], [refl], [trans], [simp], [congr],
[backward], [forward], [no_pattern], [begin_end], [tactic], [abbreviation],
[reducible], [unfold], [alias], [eqv], [intro], [intro!], [elim], [grinder],
[localrefinfo], [recursor]
},
% Various symbols
literate=
{α}{{\ensuremath{\mathrm{\alpha}}}}1
{β}{{\ensuremath{\mathrm{\beta}}}}1
{γ}{{\ensuremath{\mathrm{\gamma}}}}1
{δ}{{\ensuremath{\mathrm{\delta}}}}1
{ε}{{\ensuremath{\mathrm{\varepsilon}}}}1
{ζ}{{\ensuremath{\mathrm{\zeta}}}}1
{η}{{\ensuremath{\mathrm{\eta}}}}1
{θ}{{\ensuremath{\mathrm{\theta}}}}1
{ι}{{\ensuremath{\mathrm{\iota}}}}1
{κ}{{\ensuremath{\mathrm{\kappa}}}}1
{μ}{{\ensuremath{\mathrm{\mu}}}}1
{ν}{{\ensuremath{\mathrm{\nu}}}}1
{ξ}{{\ensuremath{\mathrm{\xi}}}}1
{π}{{\ensuremath{\mathrm{\mathnormal{\pi}}}}}1
{ρ}{{\ensuremath{\mathrm{\rho}}}}1
{σ}{{\ensuremath{\mathrm{\sigma}}}}1
{τ}{{\ensuremath{\mathrm{\tau}}}}1
{φ}{{\ensuremath{\mathrm{\varphi}}}}1
{χ}{{\ensuremath{\mathrm{\chi}}}}1
{ψ}{{\ensuremath{\mathrm{\psi}}}}1
{ω}{{\ensuremath{\mathrm{\omega}}}}1
{Γ}{{\ensuremath{\mathrm{\Gamma}}}}1
{Δ}{{\ensuremath{\mathrm{\Delta}}}}1
{Θ}{{\ensuremath{\mathrm{\Theta}}}}1
{Λ}{{\ensuremath{\mathrm{\Lambda}}}}1
{Σ}{{\ensuremath{\mathrm{\Sigma}}}}1
{Φ}{{\ensuremath{\mathrm{\Phi}}}}1
{Ξ}{{\ensuremath{\mathrm{\Xi}}}}1
{Ψ}{{\ensuremath{\mathrm{\Psi}}}}1
{Ω}{{\ensuremath{\mathrm{\Omega}}}}1
{}{{\ensuremath{\aleph}}}1
{}{{\ensuremath{\leq}}}1
{}{{\ensuremath{\geq}}}1
{}{{\ensuremath{\neq}}}1
{}{{\ensuremath{\approx}}}1
{}{{\ensuremath{\equiv}}}1
{}{{\ensuremath{\simeq}}}1
{}{{\ensuremath{\leq}}}1
{}{{\ensuremath{\geq}}}1
{}{{\ensuremath{\partial}}}1
{}{{\ensuremath{\triangle}}}1 % or \laplace?
{}{{\ensuremath{\int}}}1
{}{{\ensuremath{\mathrm{\Sigma}}}}1
{Π}{{\ensuremath{\mathrm{\Pi}}}}1
{}{{\ensuremath{\perp}}}1
{}{{\ensuremath{\infty}}}1
{}{{\ensuremath{\partial}}}1
{}{{\ensuremath{\mp}}}1
{±}{{\ensuremath{\pm}}}1
{×}{{\ensuremath{\times}}}1
{}{{\ensuremath{\oplus}}}1
{}{{\ensuremath{\otimes}}}1
{}{{\ensuremath{\boxplus}}}1
{}{{\ensuremath{\nabla}}}1
{}{{\ensuremath{\sqrt}}}1
{}{{\ensuremath{\cdot}}}1
{}{{\ensuremath{\cdot}}}1
{}{{\ensuremath{\circ}}}1
{`}{{\ensuremath{{}^\backprime}}}1
{'}{{\ensuremath{{}^\prime}}}1
%{⁻}{{\ensuremath{^{\textup{\kern1pt\rule{2pt}{0.3pt}\kern-1pt}}}}}1
{}{{\ensuremath{^{-}}}}1
{}{{\ensuremath{\mathsmaller\blacktriangleright}}}1 %% requires package relsize
{}{{\ensuremath{\wedge}}}1
{}{{\ensuremath{\vee}}}1
{¬}{{\ensuremath{\neg}}}1
{}{{\ensuremath{\vdash}}}1
%{⟨}{{\ensuremath{\left\langle}}}1
%{⟩}{{\ensuremath{\right\rangle}}}1
{}{{\ensuremath{\langle}}}1
{}{{\ensuremath{\rangle}}}1
{}{{\ensuremath{\mapsto}}}1
{}{{\ensuremath{\rightarrow}}}1
{}{{\ensuremath{\leftrightarrow}}}1
{}{{\ensuremath{\Rightarrow}}}1
{}{{\ensuremath{\Longrightarrow}}}1
{}{{\ensuremath{\Leftarrow}}}1
{}{{\ensuremath{\Longleftarrow}}}1
{}{{\ensuremath{\cap}}}1
{}{{\ensuremath{\cup}}}1
{}{{\ensuremath{\subseteq}}}1
{}{{\ensuremath{\subseteq}}}1
{}{{\ensuremath{\nsubseteq}}}1
{}{{\ensuremath{\nsubseteq}}}1
{}{{\ensuremath{\supseteq}}}1
{}{{\ensuremath{\supseteq}}}1
{}{{\ensuremath{\nsupseteq}}}1
{}{{\ensuremath{\nsupseteq}}}1
{}{{\ensuremath{\in}}}1
{}{{\ensuremath{\notin}}}1
{}{{\ensuremath{\ni}}}1
{}{{\ensuremath{\notni}}}1
{}{{\ensuremath{\emptyset}}}1
{}{{\ensuremath{\setminus}}}1
{}{{\ensuremath{\dag}}}1
{}{{\ensuremath{\mathbb{N}}}}1
{}{{\ensuremath{\mathbb{Z}}}}1
{}{{\ensuremath{\mathbb{R}}}}1
{}{{\ensuremath{\mathbb{Q}}}}1
{}{{\ensuremath{\mathbb{C}}}}1
{}{{\ensuremath{\llcorner}}}1
{}{{\ensuremath{\lrcorner}}}1
{}{{\ensuremath{\{\!|}}}1
{}{{\ensuremath{|\!\}}}}1
{}{{\ensuremath{_1}}}1
{}{{\ensuremath{_2}}}1
{}{{\ensuremath{_3}}}1
{}{{\ensuremath{_4}}}1
{}{{\ensuremath{_5}}}1
{}{{\ensuremath{_6}}}1
{}{{\ensuremath{_7}}}1
{}{{\ensuremath{_8}}}1
{}{{\ensuremath{_9}}}1
{}{{\ensuremath{_0}}}1
{¹}{{\ensuremath{^1}}}1
{²}{{\ensuremath{^2}}}1
{³}{{\ensuremath{^3}}}1
{}{{\ensuremath{^4}}}1
{}{{\ensuremath{^5}}}1
{}{{\ensuremath{^6}}}1
{}{{\ensuremath{^7}}}1
{}{{\ensuremath{^8}}}1
{}{{\ensuremath{^9}}}1
{}{{\ensuremath{^0}}}1
{}{{\textsuperscript{o}}}1
{}{{\textsuperscript{p}}}1
{}{{\ensuremath{_n}}}1
{}{{\ensuremath{_m}}}1
{}{{\ensuremath{\uparrow}}}1
{}{{\ensuremath{\downarrow}}}1
% {▸}{{\ensuremath{\triangleright}}}1
{Σ}{{\color{symbolcolor}\ensuremath{\mathrm{\Sigma}}}}1
{Π}{{\color{symbolcolor}\ensuremath{\mathrm{\Pi}}}}1
{}{{\color{symbolcolor}\ensuremath{\forall}}}1
{}{{\color{symbolcolor}\ensuremath{\exists}}}1
{λ}{{\color{symbolcolor}\ensuremath{\mathrm{\lambda}}}}1
{Ω}{{\color{symbolcolor}\ensuremath{\mathrm{\Omega}}}}1
{:=}{{\color{symbolcolor}:=}}1
{=}{{\color{symbolcolor}=}}1
{<}{{\color{symbolcolor}<}}1
{+}{{\color{symbolcolor}+}}1
{*}{{\color{symbolcolor}\ensuremath{{}^{*}}}}1,
% Comments
%comment=[s][\itshape \color{commentcolor}]{/-}{-/},
morecomment=[s][\color{commentcolor}]{/-}{-/},
morecomment=[l][\itshape \color{commentcolor}]{--},
% Spaces are not displayed as a special character
showstringspaces=false,
% keep spaces
keepspaces=true,
% String delimiters
morestring=[b]",
morestring=[d]’,
% Size of tabulations
tabsize=3,
% Enables ASCII chars 128 to 255
extendedchars=false,
% Case sensitivity
sensitive=true,
% Automatic breaking of long lines
breaklines=true,
% Default style fors listingsred
basicstyle=\ttfamily,
% Position of captions is bottom
captionpos=b,
% Full flexible columns
columns=[l]fullflexible,
% Style for (listings') identifiers
identifierstyle={\ttfamily\color{black}},
% Note : highlighting of Coq identifiers is done through a new
% delimiter definition through an lstset at the begining of the
% document. Don't know how to do better.
% Style for declaration keywords
keywordstyle=[1]{\ttfamily\color{keywordcolor}},
% Style for sorts
keywordstyle=[2]{\ttfamily\color{sortcolor}},
% Style for tactics keywords
keywordstyle=[3]{\ttfamily\color{tacticcolor}},
% Style for attributes
keywordstyle=[4]{\ttfamily\color{attributecolor}},
% Style for strings
stringstyle=\ttfamily,
% Style for comments
% commentstyle={\ttfamily\footnotesize },
}