Expression of type ExprTuple

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, ExprTuple, Lambda
from proveit.logic import Boolean, Forall, Implies, Not

# build up the expression from sub-expressions
expr = ExprTuple(Lambda(C, Forall(instance_param_or_params = [A], instance_expr = C, domain = Boolean, conditions = [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 \mapsto \left[\forall_{A \in \mathbb{B}~|~A \Rightarrow C, (\lnot A) \Rightarrow C}~C\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: 21 body: 3
2	ExprTuple	21
3	Operation	operator: 4 operand: 6
4	Literal
5	ExprTuple	6
6	Lambda	parameter: 24 body: 7
7	Conditional	value: 21 condition: 8
8	Operation	operator: 9 operands: 10
9	Literal
10	ExprTuple	11, 12, 13
11	Operation	operator: 14 operands: 15
12	Operation	operator: 17 operands: 16
13	Operation	operator: 17 operands: 18
14	Literal
15	ExprTuple	24, 19
16	ExprTuple	24, 21
17	Literal
18	ExprTuple	20, 21
19	Literal
20	Operation	operator: 22 operand: 24
21	Variable
22	Literal
23	ExprTuple	24
24	Variable