Expression of type Lambda

from the theory of proveit.numbers.exponentiation

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 Conditional, Lambda, a
from proveit.logic import And, InSet, NotEquals
from proveit.numbers import Exp, Real, RealPos, two, zero

# build up the expression from sub-expressions
expr = Lambda(a, Conditional(InSet(Exp(a, two), RealPos), And(InSet(a, Real), NotEquals(a, zero))))

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^{2} \in \mathbb{R}^+ \textrm{ if } a \in \mathbb{R} ,  a \neq 0\right..

stored_expr.style_options()

no style options

# display the expression information
stored_expr.expr_info()

	core type	sub-expressions	expression
0	Lambda	parameter: 20 body: 2
1	ExprTuple	20
2	Conditional	value: 3 condition: 4
3	Operation	operator: 14 operands: 5
4	Operation	operator: 6 operands: 7
5	ExprTuple	8, 9
6	Literal
7	ExprTuple	10, 11
8	Operation	operator: 12 operands: 13
9	Literal
10	Operation	operator: 14 operands: 15
11	Operation	operator: 16 operands: 17
12	Literal
13	ExprTuple	20, 18
14	Literal
15	ExprTuple	20, 19
16	Literal
17	ExprTuple	20, 21
18	Literal
19	Literal
20	Variable
21	Literal