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, Lambda, a
from proveit.core_expr_types import Q_1_to_m
from proveit.logic import And, Equals, TRUE

# build up the expression from sub-expressions
sub_expr1 = And(Q_1_to_m)
expr = ExprTuple(Lambda([a, Q_1_to_m], Equals(Conditional(a, And(TRUE, sub_expr1)), Conditional(a, sub_expr1)).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(\left(a, Q_{1}, Q_{2}, \ldots, Q_{m}\right) \mapsto \left(\begin{array}{c} \begin{array}{l} \left\{a \textrm{ if } \top ,  Q_{1} \land  Q_{2} \land  \ldots \land  Q_{m}\right.. \\  = \left\{a \textrm{ if } Q_{1} \land  Q_{2} \land  \ldots \land  Q_{m}\right.. \end{array} \end{array}\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	Lambda	parameters: 2 body: 3
2	ExprTuple	9, 15
3	Operation	operator: 4 operands: 5
4	Literal
5	ExprTuple	6, 7
6	Conditional	value: 9 condition: 8
7	Conditional	value: 9 condition: 12
8	Operation	operator: 13 operands: 10
9	Variable
10	ExprTuple	11, 12
11	Literal
12	Operation	operator: 13 operands: 14
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