Expression of type ExprTuple

from the theory of proveit.linear_algebra.tensors

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 Conditional, ExprTuple, K, Lambda, V, m, n
from proveit.linear_algebra import TensorExp, VecSpaces
from proveit.logic import CartExp, InClass, SubsetEq
from proveit.numbers import Mult

# build up the expression from sub-expressions
expr = ExprTuple(Lambda(V, Conditional(SubsetEq(TensorExp(CartExp(V, m), n), CartExp(V, Mult(m, n))), InClass(V, VecSpaces(K)))))

expr:

# 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

# Show the LaTeX representation of the expression for convenience if you need it.
print(stored_expr.latex())

\left(V \mapsto \left\{(V^{m})^{\otimes n} \subseteq V^{m \cdot n} \textrm{ if } V \underset{{\scriptscriptstyle c}}{\in} \textrm{VecSpaces}\left(K\right)\right..\right)

stored_expr.style_options()

no style options

# display the expression information
stored_expr.expr_info()

	core type	sub-expressions	expression
0	ExprTuple	1
1	Lambda	parameter: 25 body: 3
2	ExprTuple	25
3	Conditional	value: 4 condition: 5
4	Operation	operator: 6 operands: 7
5	Operation	operator: 8 operands: 9
6	Literal
7	ExprTuple	10, 11
8	Literal
9	ExprTuple	25, 12
10	Operation	operator: 13 operands: 14
11	Operation	operator: 21 operands: 15
12	Operation	operator: 16 operand: 20
13	Literal
14	ExprTuple	18, 27
15	ExprTuple	25, 19
16	Literal
17	ExprTuple	20
18	Operation	operator: 21 operands: 22
19	Operation	operator: 23 operands: 24
20	Variable
21	Literal
22	ExprTuple	25, 26
23	Literal
24	ExprTuple	26, 27
25	Variable
26	Variable
27	Variable