Interface

Difficulty: easy — 3 definitions, 0 abbreviations, 0 lemmas, 2 theorems, 0 examples.

definition theorem
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Segment (Port Payload : Type) : Type
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| Segment.mk : {Port Payload : Type} → Port → Port → Payload → Segment Port Payload

Outer dependencies: (none)

Lean core dependencies: Eq, HEq, Nat, SizeOf, eq_of_heq

Used by: NetworkLayer.transport, TransportLayer.application, TransportLayer.interface, instNonemptySegment, instNormSegment

instNonemptySegment {Port Payload : Type} [Nonempty Port] [Nonempty Payload] :
  Nonempty (Segment Port Payload)
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fun {Port Payload} [inst : Nonempty Port] [inst_1 : Nonempty Payload] =>
  Nonempty.intro
    { sourcePort := Classical.choice inst, destPort := Classical.choice inst,
      payload := Classical.choice inst_1 }

Complexity: 43 (size of the value term)

Outer dependencies: Segment

Lean core dependencies: Nonempty

Used by: TransportLayer.interface

instNormSegment {Port Payload : Type} [Norm Port] [Norm Payload] : Norm (Segment Port Payload)
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fun {Port Payload} [Norm Port] [Norm Payload] =>
  { norm := fun s => ‖s.sourcePort‖ + ‖s.destPort‖ + ‖s.payload‖ }

Complexity: 95 (size of the value term)

Outer dependencies: Segment

Mathlib dependencies: Norm, Real

Used by: NetworkLayer.transport, TransportLayer.application, TransportLayer.interface

transport-layer
TransportLayer.interface (Port : Type) [Nonempty Port] [Norm Port] (n : ℕ) : InterfaceOld
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fun Port [Nonempty Port] [Norm Port] n => InterfaceOld.single (Segment Port (BitSequence n))

Complexity: 47 (size of the value term)

Outer dependencies: InterfaceOld

Inner dependencies: Bit, BitSequence, InterfaceOld.single, Segment, instNonemptySegment, instNormBit, instNormForallFin_computerNetworks, instNormSegment

Mathlib dependencies: Norm

Lean core dependencies: Fin, Nat, Nonempty

Used by: NetworkArchitecture.stack, NetworkArchitecture.transport, NetworkLayer.transport, TransportLayer.application

NetworkLayer.transport (Address Port : Type) [Nonempty Address] [Norm Address] [Nonempty Port]
  [Norm Port] (n : ℕ) : Layer (NetworkLayer.interface Address n) (TransportLayer.interface Port n)
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fun Address Port [Nonempty Address] [Norm Address] [Nonempty Port] [Norm Port] n v =>
  match v.left.observe, v.right.observe with
  | none, none => True
  | some p, some s => p.payload = s.payload
  | x, x_1 => False

Complexity: 263 (size of the value term)

Outer dependencies: Layer, NetworkLayer.interface, TransportLayer.interface

Inner dependencies: Bit, BitSequence, InterfaceOld.Value, InterfaceOld.Value.left, InterfaceOld.Value.observe, InterfaceOld.Value.right, InterfaceOld.tensor, Packet, Segment, instNormBit, instNormForallFin_computerNetworks, instNormPacket, instNormSegment

Mathlib dependencies: Norm

Lean core dependencies: Bool, Eq, False, Nat, Nat.hasNotBit, Nat.land, Nat.ne_of_beq_eq_false, Nat.shiftRight, Nonempty, Option, True, Unit, Unit.unit

Used by: NetworkArchitecture.stack

Dependency diagram

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definitiontheoremdeclared elsewheredependencyproof dependency
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