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^*	⊢
	: , : , : , :
1	axiom		⊢
	proveit.linear_algebra.addition.vec_sum_split_last
2	reference	36	⊢
3	reference	30	⊢
4	instantiation	6, 28, 7, 19, 8, 9^, 13^	⊢
	: , : , :
5	instantiation	10, 11, 23, 12, 13	⊢
	: , : , :
6	theorem		⊢
	proveit.numbers.addition.strong_bound_via_left_term_bound
7	theorem		⊢
	proveit.numbers.number_sets.real_numbers.zero_is_real
8	instantiation	14, 15	⊢
	:
9	instantiation	16, 17, 18	⊢
	: , : , :
10	theorem		⊢
	proveit.numbers.addition.subtraction.subtract_from_add
11	instantiation	37, 27, 19	⊢
	: , : , :
12	instantiation	37, 27, 20	⊢
	: , : , :
13	theorem		⊢
	proveit.numbers.numerals.decimals.add_7_1
14	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.natural_pos_is_pos
15	theorem		⊢
	proveit.numbers.numerals.decimals.posnat7
16	theorem		⊢
	proveit.logic.equality.sub_right_side_into
17	instantiation	21, 23	⊢
	:
18	instantiation	22, 23, 24	⊢
	: , :
19	instantiation	37, 31, 25	⊢
	: , : , :
20	instantiation	37, 31, 26	⊢
	: , : , :
21	theorem		⊢
	proveit.numbers.addition.elim_zero_right
22	theorem		⊢
	proveit.numbers.addition.commutation
23	instantiation	37, 27, 28	⊢
	: , : , :
24	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.zero_is_complex
25	instantiation	37, 35, 29	⊢
	: , : , :
26	instantiation	37, 35, 30	⊢
	: , : , :
27	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
28	instantiation	37, 31, 32	⊢
	: , : , :
29	instantiation	37, 38, 33	⊢
	: , : , :
30	instantiation	37, 38, 34	⊢
	: , : , :
31	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
32	instantiation	37, 35, 36	⊢
	: , : , :
33	theorem		⊢
	proveit.numbers.numerals.decimals.nat7
34	theorem		⊢
	proveit.numbers.numerals.decimals.nat8
35	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
36	instantiation	37, 38, 39	⊢
	: , : , :
37	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
38	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
39	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
^*equality replacement requirements