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	⊢
	: , : , : , : , :
1	theorem		⊢
	proveit.numbers.summation.sum_split_after
2	instantiation	35, 36, 7	⊢
	: , : , :
3	reference	34	⊢
4	instantiation	35, 36, 8	⊢
	: , : , :
5	instantiation	9, 10	⊢
	:
6	instantiation	11, 30, 12, 13, 14, 15^, 16^	⊢
	: , : , :
7	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
8	theorem		⊢
	proveit.numbers.numerals.decimals.nat9
9	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.natural_pos_lower_bound
10	theorem		⊢
	proveit.numbers.numerals.decimals.posnat5
11	theorem		⊢
	proveit.numbers.addition.strong_bound_via_left_term_bound
12	theorem		⊢
	proveit.numbers.number_sets.real_numbers.zero_is_real
13	instantiation	35, 31, 17	⊢
	: , : , :
14	instantiation	18, 19	⊢
	:
15	instantiation	20, 21, 22	⊢
	: , : , :
16	theorem		⊢
	proveit.numbers.numerals.decimals.add_4_5
17	instantiation	35, 33, 23	⊢
	: , : , :
18	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.natural_pos_is_pos
19	theorem		⊢
	proveit.numbers.numerals.decimals.posnat4
20	theorem		⊢
	proveit.logic.equality.sub_right_side_into
21	instantiation	24, 26	⊢
	:
22	instantiation	25, 26, 27	⊢
	: , :
23	instantiation	35, 36, 28	⊢
	: , : , :
24	theorem		⊢
	proveit.numbers.addition.elim_zero_right
25	theorem		⊢
	proveit.numbers.addition.commutation
26	instantiation	35, 29, 30	⊢
	: , : , :
27	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.zero_is_complex
28	theorem		⊢
	proveit.numbers.numerals.decimals.nat4
29	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
30	instantiation	35, 31, 32	⊢
	: , : , :
31	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
32	instantiation	35, 33, 34	⊢
	: , : , :
33	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
34	instantiation	35, 36, 37	⊢
	: , : , :
35	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
36	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
37	theorem		⊢
	proveit.numbers.numerals.decimals.nat5
^*equality replacement requirements