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	, , , , , ⊢
	: , : , :
1	axiom		⊢
	proveit.logic.equality.equals_transitivity
2	instantiation	12, 4	, ⊢
	: , : , :
3	instantiation	5, 6, 7, 8, 9, 10, 11	, , , , , ⊢
	: , : , : , : , : , : , : , : , : , :
4	instantiation	12, 13	, ⊢
	: , : , :
5	theorem		⊢
	proveit.linear_algebra.tensors.factor_scalar_from_tensor_prod
6	instantiation	14, 25, 27	, ⊢
	: , :
7	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
8	instantiation	15, 16	⊢
	:
9	assumption		⊢
10	instantiation	17, 18	, ⊢
	:
11	assumption		⊢
12	axiom		⊢
	proveit.logic.equality.substitution
13	instantiation	19, 20, 21	, ⊢
	: , :
14	theorem		⊢
	proveit.numbers.multiplication.mult_real_closure_bin
15	theorem		⊢
	proveit.linear_algebra.real_vec_set_is_vec_space
16	theorem		⊢
	proveit.numbers.numerals.decimals.posnat3
17	assumption		⊢
18	instantiation	22, 23, 24	⊢
	:
19	axiom		⊢
	proveit.linear_algebra.scalar_multiplication.scalar_mult_extends_number_mult
20	instantiation	42, 26, 25	⊢
	: , : , :
21	instantiation	42, 26, 27	⊢
	: , : , :
22	theorem		⊢
	proveit.numbers.number_sets.integers.nonneg_int_is_natural
23	instantiation	42, 28, 40	⊢
	: , : , :
24	instantiation	29, 30	⊢
	: , :
25	assumption		⊢
26	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
27	assumption		⊢
28	instantiation	31, 38, 39	⊢
	: , :
29	theorem		⊢
	proveit.numbers.ordering.relax_less
30	instantiation	32, 33, 34	⊢
	: , : , :
31	theorem		⊢
	proveit.numbers.number_sets.integers.int_interval_within_int
32	theorem		⊢
	proveit.numbers.ordering.transitivity_less_less_eq
33	instantiation	35, 36	⊢
	:
34	instantiation	37, 38, 39, 40	⊢
	: , : , :
35	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.natural_pos_is_pos
36	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
37	theorem		⊢
	proveit.numbers.number_sets.integers.interval_lower_bound
38	instantiation	42, 43, 41	⊢
	: , : , :
39	instantiation	42, 43, 44	⊢
	: , : , :
40	assumption		⊢
41	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
42	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
43	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
44	theorem		⊢
	proveit.numbers.numerals.decimals.nat4