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, a, b, l
from proveit.logic import And, InSet
from proveit.numbers import Exp, Integrate, IntervalCC, LessEq, RealPos, frac, one, two

# build up the expression from sub-expressions
expr = ExprTuple(Lambda([a, b], Conditional(LessEq(Integrate(index_or_indices = [l], integrand = frac(one, Exp(l, two)), domain = IntervalCC(a, b)), frac(one, a)), And(InSet(a, RealPos), InSet(b, RealPos), LessEq(a, b)))))

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, b\right) \mapsto \left\{\left(\int_{a}^{b} \frac{1}{l^{2}}\,dl\right) \leq \frac{1}{a} \textrm{ if } a \in \mathbb{R}^+ ,  b \in \mathbb{R}^+ ,  a \leq b\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: 35 body: 2
2	Conditional	value: 3 condition: 4
3	Operation	operator: 18 operands: 5
4	Operation	operator: 6 operands: 7
5	ExprTuple	8, 9
6	Literal
7	ExprTuple	10, 11, 12
8	Operation	operator: 13 operand: 19
9	Operation	operator: 25 operands: 15
10	Operation	operator: 27 operands: 16
11	Operation	operator: 27 operands: 17
12	Operation	operator: 18 operands: 35
13	Literal
14	ExprTuple	19
15	ExprTuple	29, 38
16	ExprTuple	38, 20
17	ExprTuple	39, 20
18	Literal
19	Lambda	parameter: 36 body: 22
20	Literal
21	ExprTuple	36
22	Conditional	value: 23 condition: 24
23	Operation	operator: 25 operands: 26
24	Operation	operator: 27 operands: 28
25	Literal
26	ExprTuple	29, 30
27	Literal
28	ExprTuple	36, 31
29	Literal
30	Operation	operator: 32 operands: 33
31	Operation	operator: 34 operands: 35
32	Literal
33	ExprTuple	36, 37
34	Literal
35	ExprTuple	38, 39
36	Variable
37	Literal
38	Variable
39	Variable