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Expression of type ExprTuple

from the theory of proveit.logic.sets.inclusion

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 A, B, ExprTuple, Px, Py, x, y
from proveit.logic import Forall
In [2]:
# build up the expression from sub-expressions
expr = ExprTuple(Forall(instance_param_or_params = [x], instance_expr = Px, domain = A), Forall(instance_param_or_params = [y], instance_expr = Py, domain = B))
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(\forall_{x \in A}~P\left(x\right), \forall_{y \in B}~P\left(y\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
1Operationoperator: 4
operand: 6
2Operationoperator: 4
operand: 7
3ExprTuple6
4Literal
5ExprTuple7
6Lambdaparameter: 20
body: 8
7Lambdaparameter: 22
body: 9
8Conditionalvalue: 10
condition: 11
9Conditionalvalue: 12
condition: 13
10Operationoperator: 16
operand: 20
11Operationoperator: 18
operands: 15
12Operationoperator: 16
operand: 22
13Operationoperator: 18
operands: 19
14ExprTuple20
15ExprTuple20, 21
16Variable
17ExprTuple22
18Literal
19ExprTuple22, 23
20Variable
21Variable
22Variable
23Variable