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	⊢
	: , :
1	theorem		⊢
	proveit.logic.equality.not_equals_symmetry
2	instantiation	3, 32, 4, 5	⊢
	: , :
3	theorem		⊢
	proveit.numbers.ordering.less_is_not_eq_nat
4	theorem		⊢
	proveit.numbers.numerals.decimals.nat6
5	instantiation	6, 23, 7, 25, 8, 9^, 10^	⊢
	: , : , :
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	15, 13, 14	⊢
	: , : , :
10	instantiation	15, 16, 17	⊢
	: , : , :
11	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.natural_pos_is_pos
12	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
13	instantiation	18, 21	⊢
	:
14	instantiation	20, 21, 19	⊢
	: , :
15	theorem		⊢
	proveit.logic.equality.sub_right_side_into
16	theorem		⊢
	proveit.numbers.numerals.decimals.add_4_2
17	instantiation	20, 21, 22	⊢
	: , :
18	theorem		⊢
	proveit.numbers.addition.elim_zero_right
19	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.zero_is_complex
20	theorem		⊢
	proveit.numbers.addition.commutation
21	instantiation	33, 24, 23	⊢
	: , : , :
22	instantiation	33, 24, 25	⊢
	: , : , :
23	instantiation	33, 27, 26	⊢
	: , : , :
24	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
25	instantiation	33, 27, 28	⊢
	: , : , :
26	instantiation	33, 30, 29	⊢
	: , : , :
27	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
28	instantiation	33, 30, 31	⊢
	: , : , :
29	instantiation	33, 34, 32	⊢
	: , : , :
30	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
31	instantiation	33, 34, 35	⊢
	: , : , :
32	theorem		⊢
	proveit.numbers.numerals.decimals.nat4
33	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
34	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
35	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
^*equality replacement requirements