Expression of type ExprTuple

from the theory of proveit.core_expr_types.conditionals

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, Q, a, b
from proveit.logic import Equals, Implies

# build up the expression from sub-expressions
expr = ExprTuple(Lambda([a, b, Q], Conditional(Equals(Conditional(a, Q), Conditional(b, Q)).with_wrapping_at(1), Implies(Q, Equals(a, b)))))

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, b, Q\right) \mapsto \left\{\begin{array}{c} \begin{array}{l} \left\{a \textrm{ if } Q\right.. \\  = \left\{b \textrm{ if } Q\right.. \end{array} \end{array} \textrm{ if } Q \Rightarrow \left(a = b\right)\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	15, 16, 12
3	Conditional	value: 4 condition: 5
4	Operation	operator: 13 operands: 6
5	Operation	operator: 7 operands: 8
6	ExprTuple	9, 10
7	Literal
8	ExprTuple	12, 11
9	Conditional	value: 15 condition: 12
10	Conditional	value: 16 condition: 12
11	Operation	operator: 13 operands: 14
12	Variable
13	Literal
14	ExprTuple	15, 16
15	Variable
16	Variable