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 Boolean, Forall, Implies, InSet, Not

# build up the expression from sub-expressions
expr = ExprTuple(Lambda(A, Conditional(Forall(instance_param_or_params = [B], instance_expr = Not(A), conditions = [Implies(A, B), Not(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(A \mapsto \left\{\forall_{B~|~A \Rightarrow B, \lnot B}~(\lnot A) \textrm{ if } 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	parameter: 23 body: 2
2	Conditional	value: 3 condition: 4
3	Operation	operator: 5 operand: 9
4	Operation	operator: 7 operands: 8
5	Literal
6	ExprTuple	9
7	Literal
8	ExprTuple	23, 10
9	Lambda	parameter: 24 body: 11
10	Literal
11	Conditional	value: 12 condition: 13
12	Operation	operator: 21 operand: 23
13	Operation	operator: 15 operands: 16
14	ExprTuple	23
15	Literal
16	ExprTuple	17, 18
17	Operation	operator: 19 operands: 20
18	Operation	operator: 21 operand: 24
19	Literal
20	ExprTuple	23, 24
21	Literal
22	ExprTuple	24
23	Variable
24	Variable