Expression of type NamedExprs

from the theory of proveit.logic.equality

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 Lambda, NamedExprs, Variable, a, b, c, d
from proveit.logic import Equals
from proveit.numbers import Add, Exp, frac

# build up the expression from sub-expressions
sub_expr1 = Variable("_a", latex_format = r"{_{-}a}")
expr = NamedExprs(("lambda", Lambda(sub_expr1, Equals(a, Add(b, frac(c, sub_expr1), Exp(c, d))))), ("${_{-}a}$", d))

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 \left(a = \left(b + \frac{c}{{_{-}a}} + c^{d}\right)\right)\right]\\
{_{-}a}: d\\
\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 ${_{-}a}$: 19
1	Lambda	parameter: 17 body: 3
2	ExprTuple	17
3	Operation	operator: 4 operands: 5
4	Literal
5	ExprTuple	6, 7
6	Variable
7	Operation	operator: 8 operands: 9
8	Literal
9	ExprTuple	10, 11, 12
10	Variable
11	Operation	operator: 13 operands: 14
12	Operation	operator: 15 operands: 16
13	Literal
14	ExprTuple	18, 17
15	Literal
16	ExprTuple	18, 19
17	Variable
18	Variable
19	Variable