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 A_1_to_m, B_1_to_n
from proveit.logic import And, Equals

# build up the expression from sub-expressions
expr = ExprTuple(Equals(Conditional(x, And(And(A_1_to_m), And(B_1_to_n))), Conditional(x, And(A_1_to_m, B_1_to_n))).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_{1} \land  B_{2} \land  \ldots \land  B_{n}\right.. \\  = \left\{x \textrm{ if } A_{1} ,  A_{2} ,  \ldots ,  A_{m}, B_{1} ,  B_{2} ,  \ldots ,  B_{n}\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: 14 operands: 9
7	Variable
8	Operation	operator: 14 operands: 10
9	ExprTuple	11, 12
10	ExprTuple	16, 17
11	Operation	operator: 14 operands: 13
12	Operation	operator: 14 operands: 15
13	ExprTuple	16
14	Literal
15	ExprTuple	17
16	ExprRange	lambda_map: 18 start_index: 21 end_index: 19
17	ExprRange	lambda_map: 20 start_index: 21 end_index: 22
18	Lambda	parameter: 28 body: 23
19	Variable
20	Lambda	parameter: 28 body: 24
21	Literal
22	Variable
23	IndexedVar	variable: 25 index: 28
24	IndexedVar	variable: 26 index: 28
25	Variable
26	Variable
27	ExprTuple	28
28	Variable