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Expression of type ExprTuple

from the theory of proveit.physics.quantum.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 A, Conditional, ExprTuple, Lambda, c
from proveit.logic import Forall, InClass, InSet
from proveit.numbers import Complex
from proveit.physics.quantum import Qmult, QmultCodomain
In [2]:
# build up the expression from sub-expressions
expr = ExprTuple(Lambda(c, Conditional(Forall(instance_param_or_params = [A], instance_expr = InClass(Qmult(c, A), QmultCodomain), condition = InClass(Qmult(A), QmultCodomain)), InSet(c, Complex))))
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(c \mapsto \left\{\forall_{A~|~\left[A\right] \underset{{\scriptscriptstyle c}}{\in} \mathcal{Q^*}}~\left(\left(c \thinspace A\right) \underset{{\scriptscriptstyle c}}{\in} \mathcal{Q^*}\right) \textrm{ if } c \in \mathbb{C}\right..\right)
In [5]:
stored_expr.style_options()
no style options
In [6]:
# display the expression information
stored_expr.expr_info()
 core typesub-expressionsexpression
0ExprTuple1
1Lambdaparameter: 24
body: 3
2ExprTuple24
3Conditionalvalue: 4
condition: 5
4Operationoperator: 6
operand: 10
5Operationoperator: 8
operands: 9
6Literal
7ExprTuple10
8Literal
9ExprTuple24, 11
10Lambdaparameter: 25
body: 12
11Literal
12Conditionalvalue: 13
condition: 14
13Operationoperator: 16
operands: 15
14Operationoperator: 16
operands: 17
15ExprTuple18, 20
16Literal
17ExprTuple19, 20
18Operationoperator: 22
operands: 21
19Operationoperator: 22
operand: 25
20Literal
21ExprTuple24, 25
22Literal
23ExprTuple25
24Variable
25Variable