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.conjunction.and_if_both
2	instantiation	4, 5	⊢
	: , :
3	instantiation	6, 24, 7, 8, 9, 10^, 11^	⊢
	: , : , :
4	theorem		⊢
	proveit.numbers.ordering.relax_less
5	theorem		⊢
	proveit.numbers.numerals.decimals.less_2_3
6	theorem		⊢
	proveit.numbers.addition.weak_bound_via_left_term_bound
7	theorem		⊢
	proveit.numbers.number_sets.real_numbers.zero_is_real
8	instantiation	29, 25, 12	⊢
	: , : , :
9	instantiation	13, 22	⊢
	:
10	instantiation	14, 15, 16	⊢
	: , : , :
11	theorem		⊢
	proveit.numbers.numerals.decimals.add_6_3
12	instantiation	29, 27, 17	⊢
	: , : , :
13	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.natural_lower_bound
14	theorem		⊢
	proveit.logic.equality.sub_right_side_into
15	instantiation	18, 20	⊢
	:
16	instantiation	19, 20, 21	⊢
	: , :
17	instantiation	29, 30, 22	⊢
	: , : , :
18	theorem		⊢
	proveit.numbers.addition.elim_zero_right
19	theorem		⊢
	proveit.numbers.addition.commutation
20	instantiation	29, 23, 24	⊢
	: , : , :
21	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.zero_is_complex
22	theorem		⊢
	proveit.numbers.numerals.decimals.nat6
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.nat3
^*equality replacement requirements