Expression of type Conditional

from the theory of proveit.logic.sets.disjointness

import proveit
# Automation is not needed when building an expression:
proveit.defaults.automation = False # This will speed things up.
proveit.defaults.inline_pngs = False # Makes files smaller.
%load_expr # Load the stored expression as 'stored_expr'
# import Expression classes needed to build the expression
from proveit import B, Conditional, X
from proveit.core_expr_types import A_1_to_m
from proveit.logic import Disjoint, InSet, Set

# build up the expression from sub-expressions
expr = Conditional(Disjoint(X, B), InSet(X, Set(A_1_to_m)))

expr:

# check that the built expression is the same as the stored expression
assert expr == stored_expr
assert expr._style_id == stored_expr._style_id
print("Passed sanity check: expr matches stored_expr")

Passed sanity check: expr matches stored_expr

# Show the LaTeX representation of the expression for convenience if you need it.
print(stored_expr.latex())

\left\{\textrm{disjoint}\left(X, B\right) \textrm{ if } X \in \left\{A_{1}, A_{2}, \ldots, A_{m}\right\}\right..

stored_expr.style_options()

name	description	default	current value	related methods
condition_delimiter	'comma' or 'and'	comma	comma	('with_comma_delimiter', 'with_conjunction_delimiter')

# display the expression information
stored_expr.expr_info()

	core type	sub-expressions	expression
0	Conditional	value: 1 condition: 2
1	Operation	operator: 3 operands: 4
2	Operation	operator: 5 operands: 6
3	Literal
4	ExprTuple	8, 7
5	Literal
6	ExprTuple	8, 9
7	Variable
8	Variable
9	Operation	operator: 10 operands: 11
10	Literal
11	ExprTuple	12
12	ExprRange	lambda_map: 13 start_index: 14 end_index: 15
13	Lambda	parameter: 19 body: 16
14	Literal
15	Variable
16	IndexedVar	variable: 17 index: 19
17	Variable
18	ExprTuple	19
19	Variable