Theorem redundant_conjunction_general of type Forall

from the theory of proveit.logic.booleans.conjunction

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.logic.booleans.conjunction import redundant_conjunction_general

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

Passed sanity check: redundant_conjunction_general matches stored_expr

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

\forall_{i, j \in \mathbb{Z}}~\left[\forall_{A~|~A, i \leq \left(j + 1\right)}~\left(A \land  A \land  ..\left(j - i - 2\right) \times.. \land  A\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: 7 operand: 2
1	ExprTuple	2
2	Lambda	parameters: 3 body: 4
3	ExprTuple	31, 36
4	Conditional	value: 5 condition: 6
5	Operation	operator: 7 operand: 10
6	Operation	operator: 22 operands: 9
7	Literal
8	ExprTuple	10
9	ExprTuple	11, 12
10	Lambda	parameter: 30 body: 14
11	Operation	operator: 16 operands: 15
12	Operation	operator: 16 operands: 17
13	ExprTuple	30
14	Conditional	value: 18 condition: 19
15	ExprTuple	31, 20
16	Literal
17	ExprTuple	36, 20
18	Operation	operator: 22 operands: 21
19	Operation	operator: 22 operands: 23
20	Literal
21	ExprTuple	24
22	Literal
23	ExprTuple	30, 25
24	ExprRange	lambda_map: 26 start_index: 31 end_index: 36
25	Operation	operator: 27 operands: 28
26	Lambda	parameter: 33 body: 30
27	Literal
28	ExprTuple	31, 32
29	ExprTuple	33
30	Variable
31	Variable
32	Operation	operator: 34 operands: 35
33	Variable
34	Literal
35	ExprTuple	36, 37
36	Variable
37	Literal