Expression of type Lambda

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, Variable, a, b, c
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 = Lambda(sub_expr1, Equals(a, Add(b, frac(c, sub_expr1), Exp(c, sub_expr1))))

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())

{_{-}a} \mapsto \left(a = \left(b + \frac{c}{{_{-}a}} + c^{{_{-}a}}\right)\right)

stored_expr.style_options()

no style options

# display the expression information
stored_expr.expr_info()

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