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	⊢
	: , :
1	theorem		⊢
	proveit.logic.booleans.disjunction.or_if_only_right
2	instantiation	4, 24, 5, 6	⊢
	: , :
3	theorem		⊢
	proveit.numbers.numerals.decimals.less_7_8
4	theorem		⊢
	proveit.numbers.ordering.not_less_from_less_eq
5	instantiation	29, 25, 7	⊢
	: , : , :
6	instantiation	8, 24, 9, 10, 11^, 12^	⊢
	: , : , :
7	instantiation	29, 27, 13	⊢
	: , : , :
8	theorem		⊢
	proveit.numbers.addition.weak_bound_via_left_term_bound
9	theorem		⊢
	proveit.numbers.number_sets.real_numbers.zero_is_real
10	instantiation	14, 31	⊢
	:
11	instantiation	15, 16, 17	⊢
	: , : , :
12	theorem		⊢
	proveit.numbers.numerals.decimals.add_4_4
13	instantiation	29, 30, 18	⊢
	: , : , :
14	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.natural_lower_bound
15	theorem		⊢
	proveit.logic.equality.sub_right_side_into
16	instantiation	19, 21	⊢
	:
17	instantiation	20, 21, 22	⊢
	: , :
18	theorem		⊢
	proveit.numbers.numerals.decimals.nat8
19	theorem		⊢
	proveit.numbers.addition.elim_zero_right
20	theorem		⊢
	proveit.numbers.addition.commutation
21	instantiation	29, 23, 24	⊢
	: , : , :
22	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.zero_is_complex
23	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
24	instantiation	29, 25, 26	⊢
	: , : , :
25	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
26	instantiation	29, 27, 28	⊢
	: , : , :
27	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
28	instantiation	29, 30, 31	⊢
	: , : , :
29	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
30	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
31	theorem		⊢
	proveit.numbers.numerals.decimals.nat4
^*equality replacement requirements