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	, , , , ⊢
	: , : , : , :
1	theorem		⊢
	proveit.linear_algebra.tensors.tensor_prod_is_in_tensor_prod_space
2	theorem		⊢
	proveit.numbers.numerals.decimals.posnat4
3	instantiation	12	⊢
	: , : , : , :
4	instantiation	10, 11	⊢
	:
5	instantiation	12	⊢
	: , : , : , :
6	assumption		⊢
7	assumption		⊢
8	instantiation	13, 14	, ⊢
	:
9	assumption		⊢
10	theorem		⊢
	proveit.linear_algebra.real_vec_set_is_vec_space
11	theorem		⊢
	proveit.numbers.numerals.decimals.posnat3
12	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_4_typical_eq
13	assumption		⊢
14	instantiation	15, 16, 17	⊢
	:
15	theorem		⊢
	proveit.numbers.number_sets.integers.nonneg_int_is_natural
16	instantiation	32, 18, 30	⊢
	: , : , :
17	instantiation	19, 20	⊢
	: , :
18	instantiation	21, 28, 29	⊢
	: , :
19	theorem		⊢
	proveit.numbers.ordering.relax_less
20	instantiation	22, 23, 24	⊢
	: , : , :
21	theorem		⊢
	proveit.numbers.number_sets.integers.int_interval_within_int
22	theorem		⊢
	proveit.numbers.ordering.transitivity_less_less_eq
23	instantiation	25, 26	⊢
	:
24	instantiation	27, 28, 29, 30	⊢
	: , : , :
25	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.natural_pos_is_pos
26	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
27	theorem		⊢
	proveit.numbers.number_sets.integers.interval_lower_bound
28	instantiation	32, 33, 31	⊢
	: , : , :
29	instantiation	32, 33, 34	⊢
	: , : , :
30	assumption		⊢
31	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
32	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
33	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
34	theorem		⊢
	proveit.numbers.numerals.decimals.nat4