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, B, C, Conditional, D
from proveit.logic import And, Boolean, Implies, InSet, Not, Or

# build up the expression from sub-expressions
expr = Conditional(Or(Not(A), Not(B)), And(InSet(A, Boolean), InSet(B, Boolean), InSet(C, Boolean), InSet(D, Boolean), Or(Not(C), Not(D)), Implies(A, C), Implies(B, D)))

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\{(\lnot A) \lor (\lnot B) \textrm{ if } A \in \mathbb{B} ,  B \in \mathbb{B} ,  C \in \mathbb{B} ,  D \in \mathbb{B} ,  (\lnot C) \lor (\lnot D) ,  A \Rightarrow C ,  B \Rightarrow D\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: 22 operands: 3
2	Operation	operator: 4 operands: 5
3	ExprTuple	6, 7
4	Literal
5	ExprTuple	8, 9, 10, 11, 12, 13, 14
6	Operation	operator: 33 operand: 30
7	Operation	operator: 33 operand: 31
8	Operation	operator: 20 operands: 17
9	Operation	operator: 20 operands: 18
10	Operation	operator: 20 operands: 19
11	Operation	operator: 20 operands: 21
12	Operation	operator: 22 operands: 23
13	Operation	operator: 25 operands: 24
14	Operation	operator: 25 operands: 26
15	ExprTuple	30
16	ExprTuple	31
17	ExprTuple	30, 27
18	ExprTuple	31, 27
19	ExprTuple	35, 27
20	Literal
21	ExprTuple	36, 27
22	Literal
23	ExprTuple	28, 29
24	ExprTuple	30, 35
25	Literal
26	ExprTuple	31, 36
27	Literal
28	Operation	operator: 33 operand: 35
29	Operation	operator: 33 operand: 36
30	Variable
31	Variable
32	ExprTuple	35
33	Literal
34	ExprTuple	36
35	Variable
36	Variable