Expression of type Conditional

from the theory of proveit.logic.booleans.disjunction

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 Conditional
from proveit.core_expr_types import A_1_to_l, B_1_to_m, C_1_to_n
from proveit.logic import Or

# build up the expression from sub-expressions
expr = Conditional(Or(A_1_to_l, Or(B_1_to_m), C_1_to_n), Or(A_1_to_l, B_1_to_m, C_1_to_n))

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\{A_{1} \lor  A_{2} \lor  \ldots \lor  A_{l} \lor \left(B_{1} \lor  B_{2} \lor  \ldots \lor  B_{m}\right)\lor C_{1} \lor  C_{2} \lor  \ldots \lor  C_{n} \textrm{ if } A_{1} \lor  A_{2} \lor  \ldots \lor  A_{l}\lor B_{1} \lor  B_{2} \lor  \ldots \lor  B_{m}\lor C_{1} \lor  C_{2} \lor  \ldots \lor  C_{n}\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: 8 operands: 3
2	Operation	operator: 8 operands: 4
3	ExprTuple	6, 5, 7
4	ExprTuple	6, 14, 7
5	Operation	operator: 8 operands: 9
6	ExprRange	lambda_map: 10 start_index: 18 end_index: 11
7	ExprRange	lambda_map: 12 start_index: 18 end_index: 13
8	Literal
9	ExprTuple	14
10	Lambda	parameter: 25 body: 15
11	Variable
12	Lambda	parameter: 25 body: 16
13	Variable
14	ExprRange	lambda_map: 17 start_index: 18 end_index: 19
15	IndexedVar	variable: 20 index: 25
16	IndexedVar	variable: 21 index: 25
17	Lambda	parameter: 25 body: 22
18	Literal
19	Variable
20	Variable
21	Variable
22	IndexedVar	variable: 23 index: 25
23	Variable
24	ExprTuple	25
25	Variable