Expression of type Conditional

from the theory of proveit.logic.booleans.conjunction

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 And

# build up the expression from sub-expressions
expr = Conditional(And(A_1_to_l, B_1_to_m, C_1_to_n), And(A_1_to_l, And(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} \land  A_{2} \land  \ldots \land  A_{l}\land B_{1} \land  B_{2} \land  \ldots \land  B_{m}\land C_{1} \land  C_{2} \land  \ldots \land  C_{n} \textrm{ if } A_{1} ,  A_{2} ,  \ldots ,  A_{l} ,  B_{1} \land  B_{2} \land  \ldots \land  B_{m}, C_{1} ,  C_{2} ,  \ldots ,  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: 10 operands: 3
2	Operation	operator: 10 operands: 4
3	ExprTuple	5, 15, 7
4	ExprTuple	5, 6, 7
5	ExprRange	lambda_map: 8 start_index: 19 end_index: 9
6	Operation	operator: 10 operands: 11
7	ExprRange	lambda_map: 12 start_index: 19 end_index: 13
8	Lambda	parameter: 25 body: 14
9	Variable
10	Literal
11	ExprTuple	15
12	Lambda	parameter: 25 body: 16
13	Variable
14	IndexedVar	variable: 17 index: 25
15	ExprRange	lambda_map: 18 start_index: 19 end_index: 20
16	IndexedVar	variable: 21 index: 25
17	Variable
18	Lambda	parameter: 25 body: 22
19	Literal
20	Variable
21	Variable
22	IndexedVar	variable: 23 index: 25
23	Variable
24	ExprTuple	25
25	Variable