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	⊢
	: , : , :
1	axiom		⊢
	proveit.logic.equality.equals_transitivity
2	instantiation	4, 5, 6, 7, 8, 9, 16, 12, 10	⊢
	: , : , : , : , : , :
3	instantiation	11, 16, 12, 13	⊢
	: , : , :
4	theorem		⊢
	proveit.numbers.addition.disassociation
5	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
6	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
7	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
8	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
9	instantiation	14	⊢
	: , :
10	instantiation	15, 16	⊢
	:
11	theorem		⊢
	proveit.numbers.addition.subtraction.add_cancel_triple_13
12	instantiation	34, 19, 17	⊢
	: , : , :
13	instantiation	18	⊢
	:
14	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
15	theorem		⊢
	proveit.numbers.negation.complex_closure
16	instantiation	34, 19, 20	⊢
	: , : , :
17	instantiation	34, 22, 21	⊢
	: , : , :
18	axiom		⊢
	proveit.logic.equality.equals_reflexivity
19	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
20	instantiation	34, 22, 23	⊢
	: , : , :
21	instantiation	34, 24, 27	⊢
	: , : , :
22	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
23	instantiation	34, 24, 25	⊢
	: , : , :
24	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.rational_pos_within_rational
25	instantiation	26, 27, 28	⊢
	: , :
26	theorem		⊢
	proveit.numbers.multiplication.mult_rational_pos_closure_bin
27	instantiation	29, 30, 31	⊢
	: , :
28	instantiation	34, 35, 32	⊢
	: , : , :
29	theorem		⊢
	proveit.numbers.division.div_rational_pos_closure
30	instantiation	34, 35, 33	⊢
	: , : , :
31	instantiation	34, 35, 36	⊢
	: , : , :
32	assumption		⊢
33	theorem		⊢
	proveit.numbers.numerals.decimals.posnat1
34	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
35	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.nat_pos_within_rational_pos
36	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2