Expression of type NamedExprs

from the theory of proveit.logic.sets.inclusion

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 B, Lambda, NamedExprs, Variable, x
from proveit.logic import Boolean, Forall, InSet

# build up the expression from sub-expressions
sub_expr1 = Variable("_a", latex_format = r"{_{-}a}")
expr = NamedExprs(("lambda", Lambda(sub_expr1, sub_expr1)), ("${_{-}a}$", InSet(Forall(instance_param_or_params = [x], instance_expr = InSet(x, B)), 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\{ \begin{array}{l}
{\rm lambda}: \left[{_{-}a} \mapsto {_{-}a}\right]\\
{_{-}a}: \left(\left[\forall_{x}~\left(x \in B\right)\right] \in \mathbb{B}\right)\\
\end{array} \right\}

stored_expr.style_options()

no style options

# display the expression information
stored_expr.expr_info()

	core type	sub-expressions	expression
0	NamedExprs	lambda: 1 ${_{-}a}$: 2
1	Lambda	parameter: 5 body: 5
2	Operation	operator: 13 operands: 4
3	ExprTuple	5
4	ExprTuple	6, 7
5	Variable
6	Operation	operator: 8 operand: 10
7	Literal
8	Literal
9	ExprTuple	10
10	Lambda	parameter: 15 body: 12
11	ExprTuple	15
12	Operation	operator: 13 operands: 14
13	Literal
14	ExprTuple	15, 16
15	Variable
16	Variable