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Project-declaredLean 4.32.0

Exist completions subset of complete

SuperSymmetry.SU5.ChargeSpectrum.exist_completions_subset_of_complete

Plain-language statement

If x is a subset of y and y is complete, then there is a completion of x which is also a subset of y.

physicsquantum field theoryrelativity

Source project: Physlib

Person-level attribution pending.

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Project-declaredLean 4.32.0

Is Complete mono

SuperSymmetry.SU5.ChargeSpectrum.isComplete_mono

Project documentation

A charge spectrum is complete if it has all types of fields. -/ def IsComplete (x : ChargeSpectrum 𝓩) : Prop := x.qHd.isSome ∧ x.qHu.isSome ∧ x.Q5 β‰  βˆ… ∧ x.Q10 β‰  βˆ… instance [DecidableEq 𝓩] (x : ChargeSpectrum 𝓩) : Decidable (IsComplete x) := inferInstanceAs (Decidable (x.qHd.isSome ∧ x.qHu.isSome ∧ x.Q5 β‰  βˆ… ∧ x.Q10 β‰  βˆ…)) /-! ### A.1. The empty spectrum...

physicsquantum field theoryrelativity

Source project: Physlib

Person-level attribution pending.

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Project-declaredLean 4.32.0

Mem completions is Complete

SuperSymmetry.SU5.ChargeSpectrum.mem_completions_isComplete

Plain-language statement

A charge spectrum which is a member of the completions of another charge spectrum is complete.

physicsquantum field theoryrelativity

Source project: Physlib

Person-level attribution pending.

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