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, 5, 6^, 7^	⊢
	: , : , :
1	theorem		⊢
	proveit.numbers.addition.strong_bound_via_left_term_bound
2	reference	21	⊢
3	theorem		⊢
	proveit.numbers.number_sets.real_numbers.zero_is_real
4	instantiation	26, 22, 8	⊢
	: , : , :
5	instantiation	9, 10	⊢
	:
6	instantiation	11, 12, 13	⊢
	: , : , :
7	theorem		⊢
	proveit.numbers.numerals.decimals.add_6_1
8	instantiation	26, 24, 14	⊢
	: , : , :
9	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.natural_pos_is_pos
10	theorem		⊢
	proveit.numbers.numerals.decimals.posnat6
11	theorem		⊢
	proveit.logic.equality.sub_right_side_into
12	instantiation	15, 17	⊢
	:
13	instantiation	16, 17, 18	⊢
	: , :
14	instantiation	26, 27, 19	⊢
	: , : , :
15	theorem		⊢
	proveit.numbers.addition.elim_zero_right
16	theorem		⊢
	proveit.numbers.addition.commutation
17	instantiation	26, 20, 21	⊢
	: , : , :
18	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.zero_is_complex
19	theorem		⊢
	proveit.numbers.numerals.decimals.nat6
20	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
21	instantiation	26, 22, 23	⊢
	: , : , :
22	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
23	instantiation	26, 24, 25	⊢
	: , : , :
24	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
25	instantiation	26, 27, 28	⊢
	: , : , :
26	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
27	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
28	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
^*equality replacement requirements