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Expression of type ExprTuple

from the theory of proveit.logic.booleans.conjunction

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, Function, Q, Qx, x
from proveit.logic import Forall
from proveit.numbers import Interval, four, three, two
In [2]:
# build up the expression from sub-expressions
expr = ExprTuple(Function(Q, [two]), Function(Q, [three]), Function(Q, [four]), Forall(instance_param_or_params = [x], instance_expr = Qx, domain = Interval(two, four)))
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(Q\left(2\right), Q\left(3\right), Q\left(4\right), \forall_{x \in \{2~\ldotp \ldotp~4\}}~Q\left(x\right)\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
1Operationoperator: 15
operand: 23
2Operationoperator: 15
operand: 10
3Operationoperator: 15
operand: 24
4Operationoperator: 8
operand: 11
5ExprTuple23
6ExprTuple10
7ExprTuple24
8Literal
9ExprTuple11
10Literal
11Lambdaparameter: 19
body: 12
12Conditionalvalue: 13
condition: 14
13Operationoperator: 15
operand: 19
14Operationoperator: 17
operands: 18
15Variable
16ExprTuple19
17Literal
18ExprTuple19, 20
19Variable
20Operationoperator: 21
operands: 22
21Literal
22ExprTuple23, 24
23Literal
24Literal