`protocolSpec_ne_of_ne`

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module: IndisputableMonolith.Foundation.OptionAEmpiricalProtocol
domain: Foundation
line: 83 · github
papers citing: none yet

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IndisputableMonolith.Foundation.OptionAEmpiricalProtocol on GitHub at line 83.

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formal source

  80    rw [h]
  81
  82/-- Distinct combinations have distinct complete empirical protocols. -/
  83theorem protocolSpec_ne_of_ne {a b : CombinationID} (h : a ≠ b) :
  84    protocolSpec a ≠ protocolSpec b := by
  85  intro hp
  86  exact h (protocolSpec_injective hp)
  87
  88theorem c1_c3_protocol_distinct :
  89    protocolSpec .c1CognitiveTensor ≠ protocolSpec .c3OncologyTensor := by
  90  exact protocolSpec_ne_of_ne (by decide)
  91
  92theorem c3_c5_protocol_distinct :
  93    protocolSpec .c3OncologyTensor ≠ protocolSpec .c5AttentionTensor := by
  94  exact protocolSpec_ne_of_ne (by decide)
  95
  96theorem c5_c8_protocol_distinct :
  97    protocolSpec .c5AttentionTensor ≠ protocolSpec .c8MillerSpan := by
  98  exact protocolSpec_ne_of_ne (by decide)
  99
 100/-- A theorem bundle is empirically covered if every combination has a falsifier
 101protocol. -/
 102def EmpiricallyCovered : Prop :=
 103  ∀ c : CombinationID, ProtocolFalsifiable c
 104
 105theorem empiricallyCovered : EmpiricallyCovered :=
 106  protocolFalsifiable_all
 107
 108theorem c1_protocol :
 109    ProtocolFalsifiable .c1CognitiveTensor :=
 110  protocolFalsifiable_all .c1CognitiveTensor
 111
 112theorem c3_protocol :
 113    ProtocolFalsifiable .c3OncologyTensor :=

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