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.ordering.less_is_not_eq_nat
2	reference	31	⊢
3	theorem		⊢
	proveit.numbers.numerals.decimals.nat6
4	instantiation	5, 22, 6, 24, 7, 8^, 9^	⊢
	: , : , :
5	theorem		⊢
	proveit.numbers.addition.strong_bound_via_left_term_bound
6	theorem		⊢
	proveit.numbers.number_sets.real_numbers.zero_is_real
7	instantiation	10, 11	⊢
	:
8	instantiation	14, 12, 13	⊢
	: , : , :
9	instantiation	14, 15, 16	⊢
	: , : , :
10	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.natural_pos_is_pos
11	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
12	instantiation	17, 20	⊢
	:
13	instantiation	19, 20, 18	⊢
	: , :
14	theorem		⊢
	proveit.logic.equality.sub_right_side_into
15	theorem		⊢
	proveit.numbers.numerals.decimals.add_4_2
16	instantiation	19, 20, 21	⊢
	: , :
17	theorem		⊢
	proveit.numbers.addition.elim_zero_right
18	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.zero_is_complex
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.nat4
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.nat2
^*equality replacement requirements