Expression of type ExprTuple

from the theory of proveit.logic.booleans.implication

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

# build up the expression from sub-expressions
expr = ExprTuple(Lambda([A, B], Conditional(Implies(Not(B), Not(A)), And(Implies(A, B), InSet(A, Boolean)))))

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(\left(A, B\right) \mapsto \left\{(\lnot B) \Rightarrow (\lnot A) \textrm{ if } A \Rightarrow B ,  A \in \mathbb{B}\right..\right)

stored_expr.style_options()

no style options

# display the expression information
stored_expr.expr_info()

	core type	sub-expressions	expression
0	ExprTuple	1
1	Lambda	parameters: 16 body: 2
2	Conditional	value: 3 condition: 4
3	Operation	operator: 15 operands: 5
4	Operation	operator: 6 operands: 7
5	ExprTuple	8, 9
6	Literal
7	ExprTuple	10, 11
8	Operation	operator: 13 operand: 19
9	Operation	operator: 13 operand: 20
10	Operation	operator: 15 operands: 16
11	Operation	operator: 17 operands: 18
12	ExprTuple	19
13	Literal
14	ExprTuple	20
15	Literal
16	ExprTuple	20, 19
17	Literal
18	ExprTuple	20, 21
19	Variable
20	Variable
21	Literal