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