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	, , , , , , ⊢
	: , : , :
1	theorem		⊢
	proveit.numbers.division.div_eq_real
2	reference	38	⊢
3	instantiation	8, 7, 12	, , , ⊢
	: , : , :
4	instantiation	8, 9, 13	, , , ⊢
	: , : , :
5	instantiation	10, 38, 14, 15, 11, 12^, 13^	, , , , , ⊢
	: , : , :
6	assumption		⊢
7	instantiation	29, 14, 38	, , , ⊢
	: , :
8	theorem		⊢
	proveit.logic.equality.sub_right_side_into
9	instantiation	29, 15, 38	, , , ⊢
	: , :
10	theorem		⊢
	proveit.numbers.multiplication.right_mult_eq_real
11	instantiation	16, 34, 32, 35, 17	, , , , ⊢
	: , : , :
12	instantiation	20, 21, 22, 23, 24, 18, 26, 19, 28	, , , ⊢
	: , : , : , : , : , :
13	instantiation	20, 21, 22, 23, 24, 25, 26, 27, 28	, , , ⊢
	: , : , : , : , : , :
14	instantiation	29, 34, 32	, , ⊢
	: , :
15	instantiation	29, 34, 35	, , ⊢
	: , :
16	theorem		⊢
	proveit.numbers.multiplication.left_mult_eq_real
17	instantiation	30, 42, 39, 41, 31	, , , ⊢
	: , : , :
18	instantiation	33	⊢
	: , :
19	instantiation	36, 37, 32	, ⊢
	: , : , :
20	theorem		⊢
	proveit.numbers.multiplication.disassociation
21	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
22	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
23	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
24	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
25	instantiation	33	⊢
	: , :
26	instantiation	36, 37, 34	⊢
	: , : , :
27	instantiation	36, 37, 35	, ⊢
	: , : , :
28	instantiation	36, 37, 38	⊢
	: , : , :
29	theorem		⊢
	proveit.numbers.multiplication.mult_real_closure_bin
30	theorem		⊢
	proveit.numbers.addition.right_add_eq_real
31	assumption		⊢
32	instantiation	40, 39, 42	, ⊢
	: , :
33	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
34	assumption		⊢
35	instantiation	40, 41, 42	, ⊢
	: , :
36	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
37	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
38	assumption		⊢
39	assumption		⊢
40	theorem		⊢
	proveit.numbers.addition.add_real_closure_bin
41	assumption		⊢
42	assumption		⊢
^*equality replacement requirements