Expression of type ExprTuple

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, ExprTuple, x
from proveit.core_expr_types import B_1_to_n
from proveit.logic import And, Equals

# build up the expression from sub-expressions
sub_expr1 = And(B_1_to_n)
expr = ExprTuple(Equals(Conditional(x, And(And(), sub_expr1)), Conditional(x, sub_expr1)))

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(\left\{x \textrm{ if } \left[\land\right]\left(\right) ,  B_{1} \land  B_{2} \land  \ldots \land  B_{n}\right.. = \left\{x \textrm{ if } B_{1} \land  B_{2} \land  \ldots \land  B_{n}\right..\right)

stored_expr.style_options()

no style options

# display the expression information
stored_expr.expr_info()

	core type	sub-expressions	expression
0	ExprTuple	1
1	Operation	operator: 2 operands: 3
2	Literal
3	ExprTuple	4, 5
4	Conditional	value: 7 condition: 6
5	Conditional	value: 7 condition: 10
6	Operation	operator: 12 operands: 8
7	Variable
8	ExprTuple	9, 10
9	Operation	operator: 12 operands: 11
10	Operation	operator: 12 operands: 13
11	ExprTuple
12	Literal
13	ExprTuple	14
14	ExprRange	lambda_map: 15 start_index: 16 end_index: 17
15	Lambda	parameter: 21 body: 18
16	Literal
17	Variable
18	IndexedVar	variable: 19 index: 21
19	Variable
20	ExprTuple	21
21	Variable