Expression of type Conditional

from the theory of proveit.logic.booleans.disjunction

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, IndexedVar, Variable, m
from proveit.core_expr_types import A_1_to_m
from proveit.logic import And, FALSE, Not, Or
from proveit.numbers import one

# build up the expression from sub-expressions
sub_expr1 = Variable("_a", latex_format = r"{_{-}a}")
expr = Conditional(FALSE, And(Or(A_1_to_m), ExprRange(sub_expr1, Not(IndexedVar(A, sub_expr1)), one, m)))

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\{\bot \textrm{ if } A_{1} \lor  A_{2} \lor  \ldots \lor  A_{m}, (\lnot A_{1}) ,  (\lnot A_{2}) ,  \ldots ,  (\lnot A_{m})\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	Literal
2	Operation	operator: 3 operands: 4
3	Literal
4	ExprTuple	5, 6
5	Operation	operator: 7 operands: 8
6	ExprRange	lambda_map: 9 start_index: 13 end_index: 14
7	Literal
8	ExprTuple	10
9	Lambda	parameter: 20 body: 11
10	ExprRange	lambda_map: 12 start_index: 13 end_index: 14
11	Operation	operator: 15 operand: 17
12	Lambda	parameter: 20 body: 17
13	Literal
14	Variable
15	Literal
16	ExprTuple	17
17	IndexedVar	variable: 18 index: 20
18	Variable
19	ExprTuple	20
20	Variable