Show the Proof¶

In [1]:

import proveit
# Automation is not needed when only showing a stored proof:
proveit.defaults.automation = False # This will speed things up.
proveit.defaults.inline_pngs = False # Makes files smaller.
%show_proof

Out[1]:

	step type	requirements	statement
0	instantiation	1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13	, , , , , , ⊢
	: , : , : , : , : , : , : , : , : , :
1	theorem		⊢
	proveit.linear_algebra.tensors.tensor_prod_disassociation
2	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
3	theorem		⊢
	proveit.numbers.numerals.decimals.nat4
4	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
5	instantiation	14	⊢
	: , : , : , :
6	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
7	reference	21	⊢
8	instantiation	14	⊢
	: , : , : , :
9	instantiation	28, 29, 15	⊢
	: , : , :
10	instantiation	28, 29, 16	⊢
	: , : , :
11	instantiation	20, 21, 17, 18	, ⊢
	: , : , : , :
12	instantiation	28, 29, 19	⊢
	: , : , :
13	instantiation	20, 21, 22, 23	, ⊢
	: , : , : , :
14	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_4_typical_eq
15	assumption		⊢
16	assumption		⊢
17	instantiation	24, 35, 25	⊢
	: , : , :
18	instantiation	28, 29, 26	⊢
	: , : , :
19	assumption		⊢
20	theorem		⊢
	proveit.linear_algebra.scalar_multiplication.scalar_mult_closure
21	instantiation	27, 32	⊢
	:
22	assumption		⊢
23	instantiation	28, 29, 30	⊢
	: , : , :
24	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
25	assumption		⊢
26	assumption		⊢
27	theorem		⊢
	proveit.linear_algebra.complex_vec_set_is_vec_space
28	theorem		⊢
	proveit.logic.sets.inclusion.unfold_subset_eq
29	instantiation	31, 32, 33	⊢
	: , : , :
30	assumption		⊢
31	theorem		⊢
	proveit.logic.sets.cartesian_products.cart_exp_subset_eq
32	theorem		⊢
	proveit.numbers.numerals.decimals.posnat3
33	instantiation	34, 35	⊢
	: , :
34	theorem		⊢
	proveit.logic.sets.inclusion.relax_proper_subset
35	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex