Expression of type And

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.core_expr_types.tuples import range_len_conditions
from proveit.logic import And

# build up the expression from sub-expressions
expr = And(range_len_conditions)

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(j_{1} - i_{1} + 1\right) \in \mathbb{N}\right) \land  \left(\left(j_{2} - i_{2} + 1\right) \in \mathbb{N}\right) \land  \ldots \land  \left(\left(j_{n} - i_{n} + 1\right) \in \mathbb{N}\right)

stored_expr.style_options()

name	description	default	current value	related methods
operation	'infix' or 'function' style formatting	infix	infix
wrap_positions	position(s) at which wrapping is to occur; '2 n - 1' is after the nth operand, '2 n' is after the nth operation.	()	()	('with_wrapping_at', 'with_wrap_before_operator', 'with_wrap_after_operator', 'without_wrapping', 'wrap_positions')
justification	if any wrap positions are set, justify to the 'left', 'center', or 'right'	center	center	('with_justification',)

# display the expression information
stored_expr.expr_info()

	core type	sub-expressions	expression
0	Operation	operator: 1 operands: 2
1	Literal
2	ExprTuple	3
3	ExprRange	lambda_map: 4 start_index: 15 end_index: 5
4	Lambda	parameter: 22 body: 6
5	Variable
6	Operation	operator: 7 operands: 8
7	Literal
8	ExprTuple	9, 10
9	Operation	operator: 11 operands: 12
10	Literal
11	Literal
12	ExprTuple	13, 14, 15
13	IndexedVar	variable: 16 index: 22
14	Operation	operator: 17 operand: 19
15	Literal
16	Variable
17	Literal
18	ExprTuple	19
19	IndexedVar	variable: 20 index: 22
20	Variable
21	ExprTuple	22
22	Variable