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Expression of type ExprTuple

from the theory of proveit.numbers.modular

In [1]:
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 ExprTuple, N, a, b
from proveit.numbers import ModAbs, subtract
In [2]:
# build up the expression from sub-expressions
expr = ExprTuple(subtract(ModAbs(a, N), ModAbs(b, N)), ModAbs(subtract(a, b), N))
expr:
In [3]:
# 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
In [4]:
# Show the LaTeX representation of the expression for convenience if you need it.
print(stored_expr.latex())
\left(\left|a\right|_{\textup{mod}\thinspace N} - \left|b\right|_{\textup{mod}\thinspace N}, \left|a - b\right|_{\textup{mod}\thinspace N}\right)
In [5]:
stored_expr.style_options()
namedescriptiondefaultcurrent valuerelated methods
wrap_positionsposition(s) at which wrapping is to occur; 'n' is after the nth comma.()()('with_wrapping_at',)
justificationif any wrap positions are set, justify to the 'left', 'center', or 'right'leftleft('with_justification',)
In [6]:
# display the expression information
stored_expr.expr_info()
 core typesub-expressionsexpression
0ExprTuple1, 2
1Operationoperator: 10
operands: 3
2Operationoperator: 15
operands: 4
3ExprTuple5, 6
4ExprTuple7, 19
5Operationoperator: 15
operands: 8
6Operationoperator: 17
operand: 12
7Operationoperator: 10
operands: 11
8ExprTuple13, 19
9ExprTuple12
10Literal
11ExprTuple13, 14
12Operationoperator: 15
operands: 16
13Variable
14Operationoperator: 17
operand: 20
15Literal
16ExprTuple20, 19
17Literal
18ExprTuple20
19Variable
20Variable