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), And(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} ,  \left(A \Rightarrow C\right) \land \left((\lnot A) \Rightarrow C\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: 16 condition: 1
1	Operation	operator: 7 operands: 2
2	ExprTuple	3, 4
3	Operation	operator: 5 operands: 6
4	Operation	operator: 7 operands: 8
5	Literal
6	ExprTuple	19, 9
7	Literal
8	ExprTuple	10, 11
9	Literal
10	Operation	operator: 13 operands: 12
11	Operation	operator: 13 operands: 14
12	ExprTuple	19, 16
13	Literal
14	ExprTuple	15, 16
15	Operation	operator: 17 operand: 19
16	Variable
17	Literal
18	ExprTuple	19
19	Variable