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, x
from proveit.core_expr_types import Len, f_1_to_i, range_1_to_ip1

# build up the expression from sub-expressions
expr = ExprTuple(Len(operands = [f_1_to_i, x]), Len(operands = [range_1_to_ip1]))

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\left(1\right), f\left(2\right), \ldots, f\left(i\right), x\right)|, |\left(1, 2, \ldots, \left(i + 1\right)\right)|\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: 4 operands: 3
2	Operation	operator: 4 operands: 5
3	ExprTuple	6, 7
4	Literal
5	ExprTuple	8
6	ExprRange	lambda_map: 9 start_index: 18 end_index: 17
7	Variable
8	ExprRange	lambda_map: 10 start_index: 18 end_index: 11
9	Lambda	parameter: 19 body: 12
10	Lambda	parameter: 19 body: 19
11	Operation	operator: 13 operands: 14
12	Operation	operator: 15 operand: 19
13	Literal
14	ExprTuple	17, 18
15	Variable
16	ExprTuple	19
17	Variable
18	Literal
19	Variable