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, 14	⊢
	: , : , : , :
3	instantiation	9, 10, 11, 12, 13^, 14^	⊢
	: , : , :
4	axiom		⊢
	proveit.core_expr_types.operations.operands_substitution
5	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
6	instantiation	15	⊢
	: , :
7	instantiation	15	⊢
	: , :
8	theorem		⊢
	proveit.numbers.numerals.decimals.mult_2_6
9	theorem		⊢
	proveit.numbers.division.frac_cancel_left
10	instantiation	34, 17, 16	⊢
	: , : , :
11	instantiation	34, 17, 18	⊢
	: , : , :
12	instantiation	34, 19, 20	⊢
	: , : , :
13	theorem		⊢
	proveit.numbers.numerals.decimals.mult_3_4
14	theorem		⊢
	proveit.numbers.numerals.decimals.mult_3_5
15	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
16	instantiation	34, 22, 21	⊢
	: , : , :
17	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_nonzero_within_complex_nonzero
18	instantiation	34, 22, 23	⊢
	: , : , :
19	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
20	instantiation	34, 24, 25	⊢
	: , : , :
21	instantiation	34, 27, 26	⊢
	: , : , :
22	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_nonzero_within_real_nonzero
23	instantiation	34, 27, 28	⊢
	: , : , :
24	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
25	instantiation	34, 29, 30	⊢
	: , : , :
26	instantiation	34, 32, 31	⊢
	: , : , :
27	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.nonzero_int_within_rational_nonzero
28	instantiation	34, 32, 33	⊢
	: , : , :
29	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
30	instantiation	34, 35, 36	⊢
	: , : , :
31	theorem		⊢
	proveit.numbers.numerals.decimals.posnat3
32	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_nonzero_int
33	theorem		⊢
	proveit.numbers.numerals.decimals.posnat5
34	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
35	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
36	theorem		⊢
	proveit.numbers.numerals.decimals.nat4
^*equality replacement requirements