pith. machine review for the scientific record. sign in
structure

SemiconductorCert

definition
show as:
view math explainer →
module
IndisputableMonolith.Physics.SemiconductorBandStructureFromConfigDim
domain
Physics
line
39 · github
papers citing
none yet

open explainer

Generate a durable explainer page for this declaration.

open lean source

IndisputableMonolith.Physics.SemiconductorBandStructureFromConfigDim on GitHub at line 39.

browse module

All declarations in this module, on Recognition.

explainer page

Tracked in the explainer inventory; generation is lazy so crawlers do not trigger LLM jobs.

open explainer

depends on

used by

formal source

  36
  37theorem bandGap_pos (k : ℕ) : 0 < bandGap k := pow_pos phi_pos k
  38
  39structure SemiconductorCert where
  40  five_types : Fintype.card SemiconductorType = 5
  41  phi_ratio : ∀ k, bandGap (k + 1) / bandGap k = phi
  42  bandGap_always_pos : ∀ k, 0 < bandGap k
  43
  44noncomputable def semiconductorCert : SemiconductorCert where
  45  five_types := semiconductorType_count
  46  phi_ratio := bandGap_ratio
  47  bandGap_always_pos := bandGap_pos
  48
  49end IndisputableMonolith.Physics.SemiconductorBandStructureFromConfigDim