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	, , , , ⊢
	: , : , : , : , : , : , : , : , : , :
1	theorem		⊢
	proveit.linear_algebra.tensors.tensor_prod_disassociation
2	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
3	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
4	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
5	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
6	instantiation	12	⊢
	: , :
7	reference	16	⊢
8	instantiation	12	⊢
	: , :
9	instantiation	25, 26, 13	⊢
	: , : , :
10	instantiation	25, 26, 14	⊢
	: , : , :
11	instantiation	15, 29, 16, 17, 18, 19, 20	, , ⊢
	: , : , : , :
12	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
13	assumption		⊢
14	assumption		⊢
15	theorem		⊢
	proveit.linear_algebra.addition.closure
16	instantiation	21, 29	⊢
	:
17	instantiation	22	⊢
	: , : , :
18	instantiation	25, 26, 23	⊢
	: , : , :
19	instantiation	25, 26, 24	⊢
	: , : , :
20	instantiation	25, 26, 27	⊢
	: , : , :
21	theorem		⊢
	proveit.linear_algebra.complex_vec_set_is_vec_space
22	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_3_typical_eq
23	assumption		⊢
24	assumption		⊢
25	theorem		⊢
	proveit.logic.sets.inclusion.unfold_subset_eq
26	instantiation	28, 29, 30	⊢
	: , : , :
27	assumption		⊢
28	theorem		⊢
	proveit.logic.sets.cartesian_products.cart_exp_subset_eq
29	theorem		⊢
	proveit.numbers.numerals.decimals.posnat3
30	instantiation	31, 32	⊢
	: , :
31	theorem		⊢
	proveit.logic.sets.inclusion.relax_proper_subset
32	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex