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	⊢
	: , : , :
1	axiom		⊢
	proveit.logic.equality.substitution
2	instantiation	3, 4	⊢
	:
3	axiom		⊢
	proveit.logic.booleans.negation.negation_elim
4	instantiation	5, 6	⊢
	: , :
5	theorem		⊢
	proveit.logic.equality.unfold_not_equals
6	instantiation	7, 8	⊢
	: , :
7	theorem		⊢
	proveit.logic.equality.not_equals_symmetry
8	instantiation	9, 38, 10, 11	⊢
	: , :
9	theorem		⊢
	proveit.numbers.ordering.less_is_not_eq_nat
10	theorem		⊢
	proveit.numbers.numerals.decimals.nat4
11	instantiation	12, 31, 13, 14, 15, 16^, 17^	⊢
	: , : , :
12	theorem		⊢
	proveit.numbers.addition.strong_bound_via_left_term_bound
13	theorem		⊢
	proveit.numbers.number_sets.real_numbers.zero_is_real
14	instantiation	36, 32, 18	⊢
	: , : , :
15	instantiation	19, 20	⊢
	:
16	instantiation	21, 22, 23	⊢
	: , : , :
17	theorem		⊢
	proveit.numbers.numerals.decimals.add_3_1
18	instantiation	36, 34, 24	⊢
	: , : , :
19	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.natural_pos_is_pos
20	theorem		⊢
	proveit.numbers.numerals.decimals.posnat3
21	theorem		⊢
	proveit.logic.equality.sub_right_side_into
22	instantiation	25, 27	⊢
	:
23	instantiation	26, 27, 28	⊢
	: , :
24	instantiation	36, 37, 29	⊢
	: , : , :
25	theorem		⊢
	proveit.numbers.addition.elim_zero_right
26	theorem		⊢
	proveit.numbers.addition.commutation
27	instantiation	36, 30, 31	⊢
	: , : , :
28	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.zero_is_complex
29	theorem		⊢
	proveit.numbers.numerals.decimals.nat3
30	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
31	instantiation	36, 32, 33	⊢
	: , : , :
32	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
33	instantiation	36, 34, 35	⊢
	: , : , :
34	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
35	instantiation	36, 37, 38	⊢
	: , : , :
36	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
37	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
38	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
^*equality replacement requirements