Expression of type ExprTuple

from the theory of proveit.numbers.number_sets.real_numbers

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, c, x
from proveit.logic import And, Forall, InSet
from proveit.numbers import IntervalCO, Mult, Real

# build up the expression from sub-expressions
expr = ExprTuple(Lambda([a, b, c], Conditional(Forall(instance_param_or_params = [x], instance_expr = InSet(Mult(c, x), IntervalCO(Mult(c, a), Mult(c, b))), domain = IntervalCO(a, b)), And(InSet(a, Real), InSet(b, Real), InSet(c, Real)))))

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, c\right) \mapsto \left\{\forall_{x \in \left[a,b\right)}~\left(\left(c \cdot x\right) \in \left[c \cdot a,c \cdot b\right)\right) \textrm{ if } a \in \mathbb{R} ,  b \in \mathbb{R} ,  c \in \mathbb{R}\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	38, 40, 39
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	11, 12, 13
10	Lambda	parameter: 32 body: 15
11	Operation	operator: 23 operands: 16
12	Operation	operator: 23 operands: 17
13	Operation	operator: 23 operands: 18
14	ExprTuple	32
15	Conditional	value: 19 condition: 20
16	ExprTuple	38, 21
17	ExprTuple	40, 21
18	ExprTuple	39, 21
19	Operation	operator: 23 operands: 22
20	Operation	operator: 23 operands: 24
21	Literal
22	ExprTuple	25, 26
23	Literal
24	ExprTuple	32, 27
25	Operation	operator: 36 operands: 28
26	Operation	operator: 30 operands: 29
27	Operation	operator: 30 operands: 31
28	ExprTuple	39, 32
29	ExprTuple	33, 34
30	Literal
31	ExprTuple	38, 40
32	Variable
33	Operation	operator: 36 operands: 35
34	Operation	operator: 36 operands: 37
35	ExprTuple	39, 38
36	Literal
37	ExprTuple	39, 40
38	Variable
39	Variable
40	Variable