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	reference	34	⊢
3	reference	39	⊢
4	instantiation	40, 41, 8	⊢
	: , : , :
5	instantiation	9, 26, 14, 10, 11^, 12^	⊢
	: , : , :
6	instantiation	13, 33, 14, 26, 15, 16^, 17^	⊢
	: , : , :
7	theorem		⊢
	proveit.numbers.numerals.decimals.add_4_1
8	theorem		⊢
	proveit.numbers.numerals.decimals.nat6
9	theorem		⊢
	proveit.numbers.addition.weak_bound_via_left_term_bound
10	instantiation	18, 37	⊢
	:
11	instantiation	19, 20	⊢
	:
12	theorem		⊢
	proveit.numbers.numerals.decimals.add_2_2
13	theorem		⊢
	proveit.numbers.addition.strong_bound_via_left_term_bound
14	theorem		⊢
	proveit.numbers.number_sets.real_numbers.zero_is_real
15	instantiation	21, 22	⊢
	:
16	instantiation	23, 24, 25	⊢
	: , : , :
17	theorem		⊢
	proveit.numbers.numerals.decimals.add_2_4
18	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.natural_lower_bound
19	theorem		⊢
	proveit.numbers.addition.elim_zero_left
20	instantiation	40, 32, 26	⊢
	: , : , :
21	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.natural_pos_is_pos
22	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
23	theorem		⊢
	proveit.logic.equality.sub_right_side_into
24	instantiation	27, 29	⊢
	:
25	instantiation	28, 29, 30	⊢
	: , :
26	instantiation	40, 35, 31	⊢
	: , : , :
27	theorem		⊢
	proveit.numbers.addition.elim_zero_right
28	theorem		⊢
	proveit.numbers.addition.commutation
29	instantiation	40, 32, 33	⊢
	: , : , :
30	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.zero_is_complex
31	instantiation	40, 38, 34	⊢
	: , : , :
32	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
33	instantiation	40, 35, 36	⊢
	: , : , :
34	instantiation	40, 41, 37	⊢
	: , : , :
35	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
36	instantiation	40, 38, 39	⊢
	: , : , :
37	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
38	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
39	instantiation	40, 41, 42	⊢
	: , : , :
40	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
41	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
42	theorem		⊢
	proveit.numbers.numerals.decimals.nat4
^*equality replacement requirements