Theorem range_7_expansion of type Forall

from the theory of proveit.numbers.numerals.decimals

see dependencies

import proveit
# Automation is not needed when only building an expression:
proveit.defaults.automation = False # This will speed things up.
proveit.defaults.inline_pngs = False # Makes files smaller.
%load_theorem_expr # Load the stored theorem expression as 'stored_expr'
# import the special expression
from proveit.numbers.numerals.decimals import range_7_expansion

# check that the built expression is the same as the stored expression
assert range_7_expansion.expr == stored_expr
assert range_7_expansion.expr._style_id == stored_expr._style_id
print("Passed sanity check: range_7_expansion matches stored_expr")

Passed sanity check: range_7_expansion matches stored_expr

# Show the LaTeX representation of the expression for convenience if you need it.
print(stored_expr.latex())

\forall_{f, i, j~|~j = \left(i + 6\right)}~\left(\left(f\left(i\right), f\left(i + 1\right), \ldots, f\left(j\right)\right) = \left(f\left(i\right), f\left(i + 1\right), f\left(i + 2\right), f\left(i + 3\right), f\left(i + 4\right), f\left(i + 5\right), f\left(i + 6\right)\right)\right)

stored_expr.style_options()

name	description	default	current value	related methods
with_wrapping	If 'True', wrap the Expression after the parameters	None	None/False	('with_wrapping',)
condition_wrapping	Wrap 'before' or 'after' the condition (or None).	None	None/False	('with_wrap_after_condition', 'with_wrap_before_condition')
wrap_params	If 'True', wraps every two parameters AND wraps the Expression after the parameters	None	None/False	('with_params',)
justification	justify to the 'left', 'center', or 'right' in the array cells	center	center	('with_justification',)

# display the expression information
stored_expr.expr_info()

	core type	sub-expressions	expression
0	Operation	operator: 1 operand: 3
1	Literal
2	ExprTuple	3
3	Lambda	parameters: 4 body: 5
4	ExprTuple	37, 52, 22
5	Conditional	value: 6 condition: 7
6	Operation	operator: 9 operands: 8
7	Operation	operator: 9 operands: 10
8	ExprTuple	11, 12
9	Literal
10	ExprTuple	22, 36
11	ExprTuple	13
12	ExprTuple	14, 15, 16, 17, 18, 19, 20
13	ExprRange	lambda_map: 21 start_index: 52 end_index: 22
14	Operation	operator: 37 operand: 52
15	Operation	operator: 37 operand: 31
16	Operation	operator: 37 operand: 32
17	Operation	operator: 37 operand: 33
18	Operation	operator: 37 operand: 34
19	Operation	operator: 37 operand: 35
20	Operation	operator: 37 operand: 36
21	Lambda	parameter: 46 body: 30
22	Variable
23	ExprTuple	52
24	ExprTuple	31
25	ExprTuple	32
26	ExprTuple	33
27	ExprTuple	34
28	ExprTuple	35
29	ExprTuple	36
30	Operation	operator: 37 operand: 46
31	Operation	operator: 44 operands: 39
32	Operation	operator: 44 operands: 40
33	Operation	operator: 44 operands: 41
34	Operation	operator: 44 operands: 42
35	Operation	operator: 44 operands: 43
36	Operation	operator: 44 operands: 45
37	Variable
38	ExprTuple	46
39	ExprTuple	52, 47
40	ExprTuple	52, 48
41	ExprTuple	52, 49
42	ExprTuple	52, 50
43	ExprTuple	52, 51
44	Literal
45	ExprTuple	52, 53
46	Variable
47	Literal
48	Literal
49	Literal
50	Literal
51	Literal
52	Variable
53	Literal