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^*	, ⊢
	: , : , : , : , :
1	theorem		⊢
	proveit.numbers.summation.sum_split_after
2	assumption		⊢
3	reference	32	⊢
4	instantiation	33, 34, 8	⊢
	: , : , :
5	assumption		⊢
6	instantiation	9, 28, 10, 11, 12, 13^, 14^	⊢
	: , : , :
7	theorem		⊢
	proveit.numbers.numerals.decimals.add_7_1
8	theorem		⊢
	proveit.numbers.numerals.decimals.nat9
9	theorem		⊢
	proveit.numbers.addition.strong_bound_via_left_term_bound
10	theorem		⊢
	proveit.numbers.number_sets.real_numbers.zero_is_real
11	instantiation	33, 29, 15	⊢
	: , : , :
12	instantiation	16, 17	⊢
	:
13	instantiation	18, 19, 20	⊢
	: , : , :
14	theorem		⊢
	proveit.numbers.numerals.decimals.add_2_7
15	instantiation	33, 31, 21	⊢
	: , : , :
16	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.natural_pos_is_pos
17	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
18	theorem		⊢
	proveit.logic.equality.sub_right_side_into
19	instantiation	22, 24	⊢
	:
20	instantiation	23, 24, 25	⊢
	: , :
21	instantiation	33, 34, 26	⊢
	: , : , :
22	theorem		⊢
	proveit.numbers.addition.elim_zero_right
23	theorem		⊢
	proveit.numbers.addition.commutation
24	instantiation	33, 27, 28	⊢
	: , : , :
25	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.zero_is_complex
26	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
27	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
28	instantiation	33, 29, 30	⊢
	: , : , :
29	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
30	instantiation	33, 31, 32	⊢
	: , : , :
31	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
32	instantiation	33, 34, 35	⊢
	: , : , :
33	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
34	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
35	theorem		⊢
	proveit.numbers.numerals.decimals.nat7
^*equality replacement requirements