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.nat7
4	instantiation	5, 24, 6, 7, 8, 9^, 10^	⊢
	: , : , :
5	theorem		⊢
	proveit.numbers.addition.strong_bound_via_left_term_bound
6	theorem		⊢
	proveit.numbers.number_sets.real_numbers.zero_is_real
7	instantiation	29, 25, 11	⊢
	: , : , :
8	instantiation	12, 13	⊢
	:
9	instantiation	14, 15, 16	⊢
	: , : , :
10	theorem		⊢
	proveit.numbers.numerals.decimals.add_6_1
11	instantiation	29, 27, 17	⊢
	: , : , :
12	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.natural_pos_is_pos
13	theorem		⊢
	proveit.numbers.numerals.decimals.posnat6
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.nat1
^*equality replacement requirements