Expression of type ExprTuple

from the theory of proveit.numbers.modular

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, N, a, b, x
from proveit.logic import InSet
from proveit.numbers import Interval, Mod

# build up the expression from sub-expressions
expr = ExprTuple(Lambda(x, Conditional(Mod(x, N), InSet(x, Interval(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(x \mapsto \left\{x ~\textup{mod}~ N \textrm{ if } x \in \{a~\ldotp \ldotp~b\}\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	parameter: 11 body: 3
2	ExprTuple	11
3	Conditional	value: 4 condition: 5
4	Operation	operator: 6 operands: 7
5	Operation	operator: 8 operands: 9
6	Literal
7	ExprTuple	11, 10
8	Literal
9	ExprTuple	11, 12
10	Variable
11	Variable
12	Operation	operator: 13 operands: 14
13	Literal
14	ExprTuple	15, 16
15	Variable
16	Variable