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_first
2	reference	28	⊢
3	instantiation	32, 33, 7	⊢
	: , : , :
4	instantiation	8, 22, 9, 24, 10, 11^, 12^	⊢
	: , : , :
5	theorem		⊢
	proveit.numbers.numerals.decimals.add_2_2
6	theorem		⊢
	proveit.numbers.numerals.decimals.add_2_1
7	theorem		⊢
	proveit.numbers.numerals.decimals.nat6
8	theorem		⊢
	proveit.numbers.addition.strong_bound_via_left_term_bound
9	theorem		⊢
	proveit.numbers.number_sets.real_numbers.zero_is_real
10	instantiation	13, 14	⊢
	:
11	instantiation	15, 20	⊢
	:
12	instantiation	16, 17, 18	⊢
	: , : , :
13	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.natural_pos_is_pos
14	theorem		⊢
	proveit.numbers.numerals.decimals.posnat4
15	theorem		⊢
	proveit.numbers.addition.elim_zero_left
16	theorem		⊢
	proveit.logic.equality.sub_right_side_into
17	theorem		⊢
	proveit.numbers.numerals.decimals.add_2_4
18	instantiation	19, 20, 21	⊢
	: , :
19	theorem		⊢
	proveit.numbers.addition.commutation
20	instantiation	32, 23, 22	⊢
	: , : , :
21	instantiation	32, 23, 24	⊢
	: , : , :
22	instantiation	32, 26, 25	⊢
	: , : , :
23	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
24	instantiation	32, 26, 27	⊢
	: , : , :
25	instantiation	32, 29, 28	⊢
	: , : , :
26	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
27	instantiation	32, 29, 30	⊢
	: , : , :
28	instantiation	32, 33, 31	⊢
	: , : , :
29	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
30	instantiation	32, 33, 34	⊢
	: , : , :
31	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
32	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
33	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
34	theorem		⊢
	proveit.numbers.numerals.decimals.nat4
^*equality replacement requirements