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.ordering.less_add_left
2	theorem		⊢
	proveit.numbers.number_sets.real_numbers.zero_is_real
3	instantiation	36, 32, 8	⊢
	: , : , :
4	instantiation	9, 30	⊢
	:
5	instantiation	10, 11	⊢
	:
6	instantiation	12, 13	⊢
	: , :
7	instantiation	14, 15	⊢
	:
8	instantiation	36, 34, 16	⊢
	: , : , :
9	theorem		⊢
	proveit.numbers.negation.real_closure
10	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.natural_pos_is_pos
11	instantiation	17, 38, 18, 19, 31, 20	⊢
	: , : , : , : , :
12	theorem		⊢
	proveit.numbers.ordering.relax_less
13	instantiation	21, 22	⊢
	:
14	theorem		⊢
	proveit.numbers.addition.elim_zero_left
15	instantiation	23, 24	⊢
	:
16	instantiation	25, 26, 35	⊢
	: , :
17	theorem		⊢
	proveit.numbers.addition.add_nat_pos_from_nonneg
18	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
19	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
20	theorem		⊢
	proveit.numbers.numerals.decimals.less_0_1
21	theorem		⊢
	proveit.numbers.number_sets.integers.negative_if_in_neg_int
22	instantiation	27, 28	⊢
	:
23	theorem		⊢
	proveit.numbers.negation.complex_closure
24	instantiation	36, 29, 30	⊢
	: , : , :
25	theorem		⊢
	proveit.numbers.addition.add_int_closure_bin
26	instantiation	36, 37, 31	⊢
	: , : , :
27	theorem		⊢
	proveit.numbers.negation.int_neg_closure
28	theorem		⊢
	proveit.numbers.numerals.decimals.posnat1
29	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
30	instantiation	36, 32, 33	⊢
	: , : , :
31	assumption		⊢
32	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
33	instantiation	36, 34, 35	⊢
	: , : , :
34	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
35	instantiation	36, 37, 38	⊢
	: , : , :
36	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
37	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
38	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
^*equality replacement requirements