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	32	⊢
3	reference	10	⊢
4	instantiation	39, 35, 8	⊢
	: , : , :
5	instantiation	9, 10, 11, 32, 12, 13	⊢
	: , : , :
6	instantiation	14, 15, 16	⊢
	: , : , :
7	instantiation	17, 18, 19	⊢
	: , : , :
8	instantiation	39, 37, 20	⊢
	: , : , :
9	theorem		⊢
	proveit.numbers.ordering.less_add_right
10	theorem		⊢
	proveit.numbers.number_sets.real_numbers.zero_is_real
11	instantiation	39, 35, 21	⊢
	: , : , :
12	theorem		⊢
	proveit.numbers.numerals.decimals.less_0_1
13	instantiation	22, 41	⊢
	:
14	theorem		⊢
	proveit.logic.equality.sub_right_side_into
15	instantiation	23, 25	⊢
	:
16	instantiation	24, 25, 26	⊢
	: , :
17	axiom		⊢
	proveit.logic.equality.equals_transitivity
18	instantiation	27, 28	⊢
	: , : , :
19	theorem		⊢
	proveit.numbers.numerals.decimals.add_3_2
20	instantiation	39, 40, 29	⊢
	: , : , :
21	instantiation	39, 37, 30	⊢
	: , : , :
22	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.natural_lower_bound
23	theorem		⊢
	proveit.numbers.addition.elim_zero_right
24	theorem		⊢
	proveit.numbers.addition.commutation
25	instantiation	39, 31, 32	⊢
	: , : , :
26	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.zero_is_complex
27	axiom		⊢
	proveit.logic.equality.substitution
28	theorem		⊢
	proveit.numbers.numerals.decimals.add_1_2
29	instantiation	33, 34, 41	⊢
	: , :
30	instantiation	39, 40, 34	⊢
	: , : , :
31	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
32	instantiation	39, 35, 36	⊢
	: , : , :
33	theorem		⊢
	proveit.numbers.addition.add_nat_closure_bin
34	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
35	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
36	instantiation	39, 37, 38	⊢
	: , : , :
37	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
38	instantiation	39, 40, 41	⊢
	: , : , :
39	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
40	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
41	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
^*equality replacement requirements