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
from proveit.core_expr_types import Len, a_i_to_j, i_to_j_len

# build up the expression from sub-expressions
expr = ExprTuple(Len(operands = [a_i_to_j]), i_to_j_len)

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_{i}, a_{i + 1}, \ldots, a_{j}\right)|, j - i + 1\right)

stored_expr.style_options()

name	description	default	current value	related methods
wrap_positions	position(s) at which wrapping is to occur; 'n' is after the nth comma.	()	()	('with_wrapping_at',)
justification	if any wrap positions are set, justify to the 'left', 'center', or 'right'	left	left	('with_justification',)

# display the expression information
stored_expr.expr_info()

	core type	sub-expressions	expression
0	ExprTuple	1, 2
1	Operation	operator: 3 operands: 4
2	Operation	operator: 5 operands: 6
3	Literal
4	ExprTuple	7
5	Literal
6	ExprTuple	11, 8, 9
7	ExprRange	lambda_map: 10 start_index: 15 end_index: 11
8	Operation	operator: 12 operand: 15
9	Literal
10	Lambda	parameter: 18 body: 14
11	Variable
12	Literal
13	ExprTuple	15
14	IndexedVar	variable: 16 index: 18
15	Variable
16	Variable
17	ExprTuple	18
18	Variable