Expression of type Conditional

from the theory of proveit.logic.booleans

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

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

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\{C \textrm{ if } A \in \mathbb{B} ,  A \Rightarrow C ,  (\lnot A) \Rightarrow C\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: 14 condition: 1
1	Operation	operator: 2 operands: 3
2	Literal
3	ExprTuple	4, 5, 6
4	Operation	operator: 7 operands: 8
5	Operation	operator: 10 operands: 9
6	Operation	operator: 10 operands: 11
7	Literal
8	ExprTuple	17, 12
9	ExprTuple	17, 14
10	Literal
11	ExprTuple	13, 14
12	Literal
13	Operation	operator: 15 operand: 17
14	Variable
15	Literal
16	ExprTuple	17
17	Variable