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	reference	18	⊢
3	reference	39	⊢
4	reference	19	⊢
5	reference	20	⊢
6	instantiation	26	⊢
	: , :
7	instantiation	37, 29, 10	⊢
	: , : , :
8	reference	23	⊢
9	instantiation	37, 29, 11	⊢
	: , : , :
10	instantiation	12, 13, 14	⊢
	: , : , :
11	instantiation	15, 28	⊢
	:
12	theorem		⊢
	proveit.logic.equality.sub_right_side_into
13	instantiation	25, 16, 30	⊢
	: , :
14	instantiation	17, 18, 39, 19, 20, 21, 22, 23, 24	⊢
	: , : , : , : , : , :
15	theorem		⊢
	proveit.numbers.negation.real_closure
16	instantiation	25, 27, 28	⊢
	: , :
17	theorem		⊢
	proveit.numbers.multiplication.disassociation
18	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
19	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
20	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
21	instantiation	26	⊢
	: , :
22	instantiation	37, 29, 27	⊢
	: , : , :
23	instantiation	37, 29, 28	⊢
	: , : , :
24	instantiation	37, 29, 30	⊢
	: , : , :
25	theorem		⊢
	proveit.numbers.multiplication.mult_real_closure_bin
26	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
27	instantiation	37, 31, 32	⊢
	: , : , :
28	instantiation	37, 33, 34	⊢
	: , : , :
29	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
30	assumption		⊢
31	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
32	instantiation	37, 35, 36	⊢
	: , : , :
33	theorem		⊢
	proveit.numbers.number_sets.real_numbers.real_pos_within_real
34	theorem		⊢
	proveit.numbers.number_sets.real_numbers.pi_is_real_pos
35	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
36	instantiation	37, 38, 39	⊢
	: , : , :
37	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
38	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
39	theorem		⊢
	proveit.numbers.numerals.decimals.nat2