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, Equals, Implies, InSet

# build up the expression from sub-expressions
expr = ExprTuple(Lambda([A, B], Conditional(Equals(A, B), And(InSet(A, Boolean), InSet(B, Boolean), Implies(A, B), Implies(B, A)))))

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\{A = B \textrm{ if } A \in \mathbb{B} ,  B \in \mathbb{B} ,  A \Rightarrow B ,  B \Rightarrow A\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: 15 body: 2
2	Conditional	value: 3 condition: 4
3	Operation	operator: 5 operands: 15
4	Operation	operator: 6 operands: 7
5	Literal
6	Literal
7	ExprTuple	8, 9, 10, 11
8	Operation	operator: 13 operands: 12
9	Operation	operator: 13 operands: 14
10	Operation	operator: 16 operands: 15
11	Operation	operator: 16 operands: 17
12	ExprTuple	20, 18
13	Literal
14	ExprTuple	19, 18
15	ExprTuple	20, 19
16	Literal
17	ExprTuple	19, 20
18	Literal
19	Variable
20	Variable