Expression of type ExprTuple

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 Conditional, ExprTuple, Lambda, f, fx, fy, x, y
from proveit.logic import Equals

# build up the expression from sub-expressions
expr = ExprTuple(Lambda([f, x, y], Conditional(Equals(fx, fy), Equals(x, y))))

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(f, x, y\right) \mapsto \left\{f\left(x\right) = f\left(y\right) \textrm{ if } x = y\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: 2 body: 3
2	ExprTuple	12, 14, 15
3	Conditional	value: 4 condition: 5
4	Operation	operator: 7 operands: 6
5	Operation	operator: 7 operands: 8
6	ExprTuple	9, 10
7	Literal
8	ExprTuple	14, 15
9	Operation	operator: 12 operand: 14
10	Operation	operator: 12 operand: 15
11	ExprTuple	14
12	Variable
13	ExprTuple	15
14	Variable
15	Variable