Expression of type Conditional

from the theory of proveit.core_expr_types.conditionals

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, a
from proveit.core_expr_types import Q_1_to_m, R_1_to_n
from proveit.logic import And

# build up the expression from sub-expressions
expr = Conditional(a, And(And(Q_1_to_m), And(R_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 \textrm{ if } Q_{1} \land  Q_{2} \land  \ldots \land  Q_{m} ,  R_{1} \land  R_{2} \land  \ldots \land  R_{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	Variable
2	Operation	operator: 7 operands: 3
3	ExprTuple	4, 5
4	Operation	operator: 7 operands: 6
5	Operation	operator: 7 operands: 8
6	ExprTuple	9
7	Literal
8	ExprTuple	10
9	ExprRange	lambda_map: 11 start_index: 14 end_index: 12
10	ExprRange	lambda_map: 13 start_index: 14 end_index: 15
11	Lambda	parameter: 21 body: 16
12	Variable
13	Lambda	parameter: 21 body: 17
14	Literal
15	Variable
16	IndexedVar	variable: 18 index: 21
17	IndexedVar	variable: 19 index: 21
18	Variable
19	Variable
20	ExprTuple	21
21	Variable