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	reference	12	⊢
2	instantiation	4, 5	⊢
	: , : , :
3	instantiation	6, 43, 32, 7^, 8^, 9^*	⊢
	: , : , : , :
4	axiom		⊢
	proveit.logic.equality.substitution
5	instantiation	25, 10	⊢
	:
6	theorem		⊢
	proveit.numbers.addition.rational_pair_addition
7	instantiation	11, 15	⊢
	:
8	instantiation	12, 13, 14	⊢
	: , : , :
9	instantiation	25, 15	⊢
	:
10	instantiation	44, 30, 16	⊢
	: , : , :
11	theorem		⊢
	proveit.numbers.division.frac_one_denom
12	axiom		⊢
	proveit.logic.equality.equals_transitivity
13	instantiation	17, 38, 18, 19, 20, 21	⊢
	: , : , : , :
14	theorem		⊢
	proveit.numbers.numerals.decimals.add_1_4
15	instantiation	44, 30, 22	⊢
	: , : , :
16	instantiation	44, 36, 23	⊢
	: , : , :
17	axiom		⊢
	proveit.core_expr_types.operations.operands_substitution
18	instantiation	24	⊢
	: , :
19	instantiation	24	⊢
	: , :
20	instantiation	25, 26	⊢
	:
21	theorem		⊢
	proveit.numbers.numerals.decimals.mult_2_2
22	instantiation	44, 36, 27	⊢
	: , : , :
23	instantiation	44, 28, 29	⊢
	: , : , :
24	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
25	theorem		⊢
	proveit.numbers.multiplication.elim_one_right
26	instantiation	44, 30, 31	⊢
	: , : , :
27	instantiation	44, 42, 32	⊢
	: , : , :
28	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.rational_pos_within_rational
29	instantiation	33, 34, 35	⊢
	: , :
30	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
31	instantiation	44, 36, 37	⊢
	: , : , :
32	instantiation	44, 45, 38	⊢
	: , : , :
33	theorem		⊢
	proveit.numbers.division.div_rational_pos_closure
34	instantiation	44, 40, 39	⊢
	: , : , :
35	instantiation	44, 40, 41	⊢
	: , : , :
36	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
37	instantiation	44, 42, 43	⊢
	: , : , :
38	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
39	theorem		⊢
	proveit.numbers.numerals.decimals.posnat1
40	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.nat_pos_within_rational_pos
41	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
42	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
43	instantiation	44, 45, 46	⊢
	: , : , :
44	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
45	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
46	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
^*equality replacement requirements