Expression of type Conditional

from the theory of proveit.logic.booleans.conjunction

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 A, Conditional, ExprRange, Variable, i, j
from proveit.logic import And
from proveit.numbers import Add, LessEq, one

# build up the expression from sub-expressions
expr = Conditional(And(ExprRange(Variable("_a", latex_format = r"{_{-}a}"), A, i, j)), And(A, LessEq(i, Add(j, one))))

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\{A \land  A \land  ..\left(j - i - 2\right) \times.. \land  A \textrm{ if } A ,  i \leq \left(j + 1\right)\right..

stored_expr.style_options()

name	description	default	current value	related methods
condition_delimiter	'comma' or 'and'	comma	comma	('with_comma_delimiter', 'with_conjunction_delimiter')

# display the expression information
stored_expr.expr_info()

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