Expression of type ExprTuple

from the theory of proveit.numbers.integration

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, e, l, t
from proveit.logic import InSet
from proveit.numbers import Exp, IntervalCC, Real, frac, one, subtract, two

# build up the expression from sub-expressions
expr = ExprTuple(Lambda(l, Conditional(InSet(frac(one, Exp(l, two)), Real), InSet(l, IntervalCC(e, subtract(Exp(two, subtract(t, one)), one))))))

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(l \mapsto \left\{\frac{1}{l^{2}} \in \mathbb{R} \textrm{ if } l \in \left[e,2^{t - 1} - 1\right]\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: 21 body: 3
2	ExprTuple	21
3	Conditional	value: 4 condition: 5
4	Operation	operator: 7 operands: 6
5	Operation	operator: 7 operands: 8
6	ExprTuple	9, 10
7	Literal
8	ExprTuple	21, 11
9	Operation	operator: 12 operands: 13
10	Literal
11	Operation	operator: 14 operands: 15
12	Literal
13	ExprTuple	33, 16
14	Literal
15	ExprTuple	17, 18
16	Operation	operator: 23 operands: 19
17	Variable
18	Operation	operator: 27 operands: 20
19	ExprTuple	21, 25
20	ExprTuple	22, 30
21	Variable
22	Operation	operator: 23 operands: 24
23	Literal
24	ExprTuple	25, 26
25	Literal
26	Operation	operator: 27 operands: 28
27	Literal
28	ExprTuple	29, 30
29	Variable
30	Operation	operator: 31 operand: 33
31	Literal
32	ExprTuple	33
33	Literal