Expression of type ExprTuple

from the theory of proveit.core_expr_types.tuples

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 ExprTuple, Lambda, f, i, j
from proveit.core_expr_types import Len
from proveit.core_expr_types.tuples import general_range_of_ranges
from proveit.logic import Equals
from proveit.numbers import zero

# build up the expression from sub-expressions
expr = ExprTuple(Lambda([f, i, j], Equals(Len(operands = general_range_of_ranges), zero).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(f, i, j\right) \mapsto \left(\begin{array}{c} \begin{array}{l} |\left(f\left(m, i\left(m\right)\right), f\left(m, i\left(m\right) + 1\right), \ldots, f\left(m, j\left(m\right)\right), f\left(m + 1, i\left(m + 1\right)\right), f\left(m + 1, i\left(m + 1\right) + 1\right), \ldots, f\left(m + 1, j\left(m + 1\right)\right), \ldots\ldots, f\left(n, i\left(n\right)\right), f\left(n, i\left(n\right) + 1\right), \ldots, f\left(n, j\left(n\right)\right)\right)| \\  = 0 \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	23, 20, 21
3	Operation	operator: 4 operands: 5
4	Literal
5	ExprTuple	6, 7
6	Operation	operator: 8 operands: 9
7	Literal
8	Literal
9	ExprTuple	10
10	ExprRange	lambda_map: 11 start_index: 12 end_index: 13
11	Lambda	parameter: 25 body: 14
12	Variable
13	Variable
14	ExprRange	lambda_map: 15 start_index: 16 end_index: 17
15	Lambda	parameter: 26 body: 19
16	Operation	operator: 20 operand: 25
17	Operation	operator: 21 operand: 25
18	ExprTuple	26
19	Operation	operator: 23 operands: 24
20	Variable
21	Variable
22	ExprTuple	25
23	Variable
24	ExprTuple	25, 26
25	Variable
26	Variable