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Expression of type ExprTuple

from the theory of proveit.numbers.exponentiation

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, a, b, c, d, f
from proveit.logic import InSet, NotEquals
from proveit.numbers import Complex, NaturalPos, RealPos, zero
In [2]:
# build up the expression from sub-expressions
expr = ExprTuple(InSet(a, RealPos), InSet(b, NaturalPos), InSet(c, RealPos), InSet(d, RealPos), InSet(f, Complex), NotEquals(a, zero), NotEquals(b, zero), NotEquals(c, zero))
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{N}^+, c \in \mathbb{R}^+, d \in \mathbb{R}^+, f \in \mathbb{C}, a \neq 0, b \neq 0, c \neq 0\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, 7, 8
1Operationoperator: 13
operands: 9
2Operationoperator: 13
operands: 10
3Operationoperator: 13
operands: 11
4Operationoperator: 13
operands: 12
5Operationoperator: 13
operands: 14
6Operationoperator: 17
operands: 15
7Operationoperator: 17
operands: 16
8Operationoperator: 17
operands: 18
9ExprTuple24, 21
10ExprTuple25, 19
11ExprTuple26, 21
12ExprTuple20, 21
13Literal
14ExprTuple22, 23
15ExprTuple24, 27
16ExprTuple25, 27
17Literal
18ExprTuple26, 27
19Literal
20Variable
21Literal
22Variable
23Literal
24Variable
25Variable
26Variable
27Literal