Expression of type ExprTuple

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, ExprTuple, Lambda, a, x
from proveit.logic import And, Equals, InSet, NotEquals
from proveit.numbers import Exp, Log, RealPos, one

# build up the expression from sub-expressions
expr = ExprTuple(Lambda([a, x], Conditional(Equals(Exp(a, Log(a, x)), x), And(InSet(a, RealPos), InSet(x, RealPos), NotEquals(a, one)))))

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(\left(a, x\right) \mapsto \left\{a^{\textrm{log}_a\left(x\right)} = x \textrm{ if } a \in \mathbb{R}^+ ,  x \in \mathbb{R}^+ ,  a \neq 1\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	parameters: 24 body: 2
2	Conditional	value: 3 condition: 4
3	Operation	operator: 5 operands: 6
4	Operation	operator: 7 operands: 8
5	Literal
6	ExprTuple	9, 26
7	Literal
8	ExprTuple	10, 11, 12
9	Operation	operator: 13 operands: 14
10	Operation	operator: 16 operands: 15
11	Operation	operator: 16 operands: 17
12	Operation	operator: 18 operands: 19
13	Literal
14	ExprTuple	25, 20
15	ExprTuple	25, 21
16	Literal
17	ExprTuple	26, 21
18	Literal
19	ExprTuple	25, 22
20	Operation	operator: 23 operands: 24
21	Literal
22	Literal
23	Literal
24	ExprTuple	25, 26
25	Variable
26	Variable