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, R, a, m
from proveit.core_expr_types import Q_1_to_m
from proveit.logic import And, Equals, Forall, InSet
from proveit.numbers import Natural

# build up the expression from sub-expressions
expr = ExprTuple(Lambda(m, Conditional(Forall(instance_param_or_params = [a, Q_1_to_m, R], instance_expr = Equals(Conditional(a, And(And(Q_1_to_m), R)), Conditional(a, And(Q_1_to_m, R))).with_wrapping_at(1)), InSet(m, Natural))))

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(m \mapsto \left\{\forall_{a, Q_{1}, Q_{2}, \ldots, Q_{m}, R}~\left(\begin{array}{c} \begin{array}{l} \left\{a \textrm{ if } Q_{1} \land  Q_{2} \land  \ldots \land  Q_{m} ,  R\right.. \\  = \left\{a \textrm{ if } Q_{1} ,  Q_{2} ,  \ldots ,  Q_{m} ,  R\right.. \end{array} \end{array}\right) \textrm{ if } m \in \mathbb{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	Lambda	parameter: 30 body: 3
2	ExprTuple	30
3	Conditional	value: 4 condition: 5
4	Operation	operator: 6 operand: 10
5	Operation	operator: 8 operands: 9
6	Literal
7	ExprTuple	10
8	Literal
9	ExprTuple	30, 11
10	Lambda	parameters: 12 body: 13
11	Literal
12	ExprTuple	19, 27, 24
13	Operation	operator: 14 operands: 15
14	Literal
15	ExprTuple	16, 17
16	Conditional	value: 19 condition: 18
17	Conditional	value: 19 condition: 20
18	Operation	operator: 25 operands: 21
19	Variable
20	Operation	operator: 25 operands: 22
21	ExprTuple	23, 24
22	ExprTuple	27, 24
23	Operation	operator: 25 operands: 26
24	Variable
25	Literal
26	ExprTuple	27
27	ExprRange	lambda_map: 28 start_index: 29 end_index: 30
28	Lambda	parameter: 34 body: 31
29	Literal
30	Variable
31	IndexedVar	variable: 32 index: 34
32	Variable
33	ExprTuple	34
34	Variable