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, n
from proveit.logic import And
from proveit.numbers import one

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

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(n - 3\right) \times.. \land  A \textrm{ if } A\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: 9
1	Operation	operator: 2 operands: 3
2	Literal
3	ExprTuple	4
4	ExprRange	lambda_map: 5 start_index: 6 end_index: 7
5	Lambda	parameter: 10 body: 9
6	Literal
7	Variable
8	ExprTuple	10
9	Variable
10	Variable