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.addition.strong_bound_via_left_term_bound
2	instantiation	41, 8, 9	⊢
	: , : , :
3	theorem		⊢
	proveit.numbers.number_sets.real_numbers.zero_is_real
4	reference	24	⊢
5	instantiation	10, 11	⊢
	:
6	instantiation	12, 22, 13, 14	⊢
	: , : , :
7	instantiation	15, 16, 22, 17, 18	⊢
	: , : , :
8	theorem		⊢
	proveit.numbers.number_sets.real_numbers.real_neg_within_real
9	instantiation	41, 19, 20	⊢
	: , : , :
10	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.natural_pos_is_pos
11	theorem		⊢
	proveit.numbers.numerals.decimals.posnat6
12	theorem		⊢
	proveit.numbers.addition.subtraction.subtract_from_add_reversed
13	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.zero_is_complex
14	instantiation	21, 22	⊢
	:
15	theorem		⊢
	proveit.numbers.addition.subtraction.subtract_from_add
16	instantiation	41, 27, 23	⊢
	: , : , :
17	instantiation	41, 27, 24	⊢
	: , : , :
18	theorem		⊢
	proveit.numbers.numerals.decimals.add_4_2
19	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_neg_within_real_neg
20	instantiation	41, 25, 26	⊢
	: , : , :
21	theorem		⊢
	proveit.numbers.addition.elim_zero_right
22	instantiation	41, 27, 28	⊢
	: , : , :
23	instantiation	41, 33, 29	⊢
	: , : , :
24	instantiation	41, 33, 30	⊢
	: , : , :
25	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.neg_int_within_rational_neg
26	instantiation	31, 32	⊢
	:
27	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
28	instantiation	41, 33, 34	⊢
	: , : , :
29	instantiation	41, 37, 35	⊢
	: , : , :
30	instantiation	41, 37, 36	⊢
	: , : , :
31	theorem		⊢
	proveit.numbers.negation.int_neg_closure
32	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
33	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
34	instantiation	41, 37, 38	⊢
	: , : , :
35	instantiation	41, 42, 39	⊢
	: , : , :
36	instantiation	41, 42, 40	⊢
	: , : , :
37	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
38	instantiation	41, 42, 43	⊢
	: , : , :
39	theorem		⊢
	proveit.numbers.numerals.decimals.nat4
40	theorem		⊢
	proveit.numbers.numerals.decimals.nat6
41	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
42	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
43	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
^*equality replacement requirements