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Expression of type ExprTuple

from the theory of proveit.linear_algebra

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, X, Y, Z, a, b, c
from proveit.logic import CartExp, InSet
from proveit.numbers import Real, three
In [2]:
# build up the expression from sub-expressions
sub_expr1 = CartExp(Real, three)
expr = ExprTuple(InSet(a, Real), InSet(b, Real), InSet(c, Real), InSet(X, sub_expr1), InSet(Y, sub_expr1), InSet(Z, sub_expr1))
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(a \in \mathbb{R}, b \in \mathbb{R}, c \in \mathbb{R}, X \in \mathbb{R}^{3}, Y \in \mathbb{R}^{3}, Z \in \mathbb{R}^{3}\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, 3, 4, 5, 6
1Operationoperator: 12
operands: 7
2Operationoperator: 12
operands: 8
3Operationoperator: 12
operands: 9
4Operationoperator: 12
operands: 10
5Operationoperator: 12
operands: 11
6Operationoperator: 12
operands: 13
7ExprTuple14, 23
8ExprTuple15, 23
9ExprTuple16, 23
10ExprTuple17, 20
11ExprTuple18, 20
12Literal
13ExprTuple19, 20
14Variable
15Variable
16Variable
17Variable
18Variable
19Variable
20Operationoperator: 21
operands: 22
21Literal
22ExprTuple23, 24
23Literal
24Literal