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	theorem		⊢
	proveit.logic.sets.functions.bijections.elim_domain_condition
2	modus ponens	3, 4	⊢
3	instantiation	5, 6^*	⊢
	: , : , : , : , : , :
4	instantiation	7, 8, 9	⊢
	: , :
5	theorem		⊢
	proveit.logic.sets.functions.bijections.bijection_transitivity
6	instantiation	10, 11	⊢
	: , : , :
7	theorem		⊢
	proveit.logic.booleans.conjunction.and_if_both
8	instantiation	12, 13, 27, 32, 20	⊢
	: , : , : , : , :
9	theorem		⊢
	proveit.physics.quantum.QPE._sample_space_bijection
10	axiom		⊢
	proveit.logic.equality.substitution
11	instantiation	14, 15	⊢
	: , :
12	theorem		⊢
	proveit.numbers.modular.interval_left_shift_bijection
13	instantiation	16, 17, 18	⊢
	: , :
14	theorem		⊢
	proveit.logic.equality.equals_reversal
15	instantiation	19, 20, 21	⊢
	: , :
16	theorem		⊢
	proveit.numbers.exponentiation.exp_natpos_closure
17	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
18	instantiation	35, 22, 23	⊢
	: , : , :
19	axiom		⊢
	proveit.physics.quantum.QPE._mod_add_def
20	theorem		⊢
	proveit.physics.quantum.QPE._best_floor_is_int
21	instantiation	35, 24, 25	⊢
	: , : , :
22	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.nat_pos_within_nat
23	axiom		⊢
	proveit.physics.quantum.QPE._t_in_natural_pos
24	instantiation	26, 27, 32	⊢
	: , :
25	assumption		⊢
26	theorem		⊢
	proveit.numbers.number_sets.integers.int_interval_within_int
27	instantiation	28, 29, 30	⊢
	: , :
28	theorem		⊢
	proveit.numbers.addition.add_int_closure_bin
29	instantiation	31, 32	⊢
	:
30	instantiation	35, 33, 34	⊢
	: , : , :
31	theorem		⊢
	proveit.numbers.negation.int_closure
32	instantiation	35, 36, 37	⊢
	: , : , :
33	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
34	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
35	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
36	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_int
37	theorem		⊢
	proveit.physics.quantum.QPE._two_pow_t_minus_one_is_nat_pos
^*equality replacement requirements