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 B, Conditional, ExprTuple, x
from proveit.core_expr_types import A_1_to_m
from proveit.logic import And, Equals

# build up the expression from sub-expressions
expr = ExprTuple(Equals(Conditional(x, And(And(A_1_to_m), B)), Conditional(x, And(A_1_to_m, B))).with_wrapping_at(1))

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(\begin{array}{c} \begin{array}{l} \left\{x \textrm{ if } A_{1} \land  A_{2} \land  \ldots \land  A_{m} ,  B\right.. \\  = \left\{x \textrm{ if } A_{1} ,  A_{2} ,  \ldots ,  A_{m} ,  B\right.. \end{array} \end{array}\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: 8
6	Operation	operator: 13 operands: 9
7	Variable
8	Operation	operator: 13 operands: 10
9	ExprTuple	11, 12
10	ExprTuple	15, 12
11	Operation	operator: 13 operands: 14
12	Variable
13	Literal
14	ExprTuple	15
15	ExprRange	lambda_map: 16 start_index: 17 end_index: 18
16	Lambda	parameter: 22 body: 19
17	Literal
18	Variable
19	IndexedVar	variable: 20 index: 22
20	Variable
21	ExprTuple	22
22	Variable