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, 8, 9	⊢
	: , : , : , : , : , :
1	theorem		⊢
	proveit.numbers.addition.disassociation
2	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
3	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
4	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
5	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
6	instantiation	10	⊢
	: , :
7	reference	13	⊢
8	instantiation	29, 15, 11	⊢
	: , : , :
9	instantiation	12, 13	⊢
	:
10	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
11	instantiation	29, 17, 14	⊢
	: , : , :
12	theorem		⊢
	proveit.numbers.negation.complex_closure
13	instantiation	29, 15, 16	⊢
	: , : , :
14	instantiation	29, 19, 22	⊢
	: , : , :
15	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
16	instantiation	29, 17, 18	⊢
	: , : , :
17	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
18	instantiation	29, 19, 20	⊢
	: , : , :
19	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.rational_pos_within_rational
20	instantiation	21, 22, 23	⊢
	: , :
21	theorem		⊢
	proveit.numbers.multiplication.mult_rational_pos_closure_bin
22	instantiation	24, 25, 26	⊢
	: , :
23	instantiation	29, 30, 27	⊢
	: , : , :
24	theorem		⊢
	proveit.numbers.division.div_rational_pos_closure
25	instantiation	29, 30, 28	⊢
	: , : , :
26	instantiation	29, 30, 31	⊢
	: , : , :
27	assumption		⊢
28	theorem		⊢
	proveit.numbers.numerals.decimals.posnat1
29	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
30	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.nat_pos_within_rational_pos
31	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2