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 B, Conditional
from proveit.core_expr_types import A_1_to_m, C_1_to_n
from proveit.logic import And

# build up the expression from sub-expressions
expr = Conditional(B, And(A_1_to_m, B, 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\{B \textrm{ if } A_{1} ,  A_{2} ,  \ldots ,  A_{m} ,  B, 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: 5 condition: 1
1	Operation	operator: 2 operands: 3
2	Literal
3	ExprTuple	4, 5, 6
4	ExprRange	lambda_map: 7 start_index: 10 end_index: 8
5	Variable
6	ExprRange	lambda_map: 9 start_index: 10 end_index: 11
7	Lambda	parameter: 17 body: 12
8	Variable
9	Lambda	parameter: 17 body: 13
10	Literal
11	Variable
12	IndexedVar	variable: 14 index: 17
13	IndexedVar	variable: 15 index: 17
14	Variable
15	Variable
16	ExprTuple	17
17	Variable