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	, , , , ⊢
	: , :
1	theorem		⊢
	proveit.logic.equality.equals_reversal
2	instantiation	3, 4	, , , , ⊢
	: , : , :
3	axiom		⊢
	proveit.logic.equality.substitution
4	instantiation	5, 6, 35, 7, 8, 9, 10, 11, 12, 13	, , , , ⊢
	: , : , : , : , : , : , : , : , : , :
5	theorem		⊢
	proveit.linear_algebra.tensors.tensor_prod_disassociation
6	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
7	instantiation	16	⊢
	: , :
8	instantiation	14, 15	⊢
	:
9	instantiation	16	⊢
	: , :
10	assumption		⊢
11	assumption		⊢
12	instantiation	17, 18	, ⊢
	:
13	assumption		⊢
14	theorem		⊢
	proveit.linear_algebra.real_vec_set_is_vec_space
15	theorem		⊢
	proveit.numbers.numerals.decimals.posnat3
16	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
17	assumption		⊢
18	instantiation	19, 20, 21	⊢
	:
19	theorem		⊢
	proveit.numbers.number_sets.integers.nonneg_int_is_natural
20	instantiation	36, 22, 34	⊢
	: , : , :
21	instantiation	23, 24	⊢
	: , :
22	instantiation	25, 32, 33	⊢
	: , :
23	theorem		⊢
	proveit.numbers.ordering.relax_less
24	instantiation	26, 27, 28	⊢
	: , : , :
25	theorem		⊢
	proveit.numbers.number_sets.integers.int_interval_within_int
26	theorem		⊢
	proveit.numbers.ordering.transitivity_less_less_eq
27	instantiation	29, 30	⊢
	:
28	instantiation	31, 32, 33, 34	⊢
	: , : , :
29	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.natural_pos_is_pos
30	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
31	theorem		⊢
	proveit.numbers.number_sets.integers.interval_lower_bound
32	instantiation	36, 37, 35	⊢
	: , : , :
33	instantiation	36, 37, 38	⊢
	: , : , :
34	assumption		⊢
35	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
36	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
37	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
38	theorem		⊢
	proveit.numbers.numerals.decimals.nat4