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