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Research proof index

Search theorem names, mathematical ideas, modules, topics, projects, and role-labelled researchers. Open a result for its complete indexed Lean declaration and source record.

This index contains 5 research declarations. Search 10,000 more complete Mathlib declarations.

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Project-declaredLean 4.32.0

Card of mem minimal Super Set

SuperSymmetry.SU5.ChargeSpectrum.card_of_mem_minimalSuperSet

Project documentation

Given a collection of charges x in ofFinset S5 S10, the minimal charges y in ofFinset S5 S10 which are a super sets of x. -/ def minimalSuperSet (S5 S10 : Finset 𝓩) (x : ChargeSpectrum 𝓩) : Finset (ChargeSpectrum 𝓩) := let SqHd := if x.qHd.isSome then ∅ else S5.map ⟨fun y => ⟨some y, x.qHu, x.Q5, x.Q10⟩, by intro y1 y2; simp⟩ let SqHu := if x...

physicsquantum field theoryrelativity

Source project: Physlib

Person-level attribution pending.

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Project-declaredLean 4.32.0

Exists minimal Super Set

SuperSymmetry.SU5.ChargeSpectrum.exists_minimalSuperSet

Project documentation

Given a collection of charges x in ofFinset S5 S10, the minimal charges y in ofFinset S5 S10 which are a super sets of x. -/ def minimalSuperSet (S5 S10 : Finset 𝓩) (x : ChargeSpectrum 𝓩) : Finset (ChargeSpectrum 𝓩) := let SqHd := if x.qHd.isSome then ∅ else S5.map ⟨fun y => ⟨some y, x.qHu, x.Q5, x.Q10⟩, by intro y1 y2; simp⟩ let SqHu := if x...

physicsquantum field theoryrelativity

Source project: Physlib

Person-level attribution pending.

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Project-declaredLean 4.32.0

Minimal Super Set induction on inductive

SuperSymmetry.SU5.ChargeSpectrum.minimalSuperSet_induction_on_inductive

Project documentation

Given a collection of charges x in ofFinset S5 S10, the minimal charges y in ofFinset S5 S10 which are a super sets of x. -/ def minimalSuperSet (S5 S10 : Finset 𝓩) (x : ChargeSpectrum 𝓩) : Finset (ChargeSpectrum 𝓩) := let SqHd := if x.qHd.isSome then ∅ else S5.map ⟨fun y => ⟨some y, x.qHu, x.Q5, x.Q10⟩, by intro y1 y2; simp⟩ let SqHu := if x...

physicsquantum field theoryrelativity

Source project: Physlib

Person-level attribution pending.

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Project-declaredLean 4.32.0

Self subset mem minimal Super Set

SuperSymmetry.SU5.ChargeSpectrum.self_subset_mem_minimalSuperSet

Project documentation

Given a collection of charges x in ofFinset S5 S10, the minimal charges y in ofFinset S5 S10 which are a super sets of x. -/ def minimalSuperSet (S5 S10 : Finset 𝓩) (x : ChargeSpectrum 𝓩) : Finset (ChargeSpectrum 𝓩) := let SqHd := if x.qHd.isSome then ∅ else S5.map ⟨fun y => ⟨some y, x.qHu, x.Q5, x.Q10⟩, by intro y1 y2; simp⟩ let SqHu := if x...

physicsquantum field theoryrelativity

Source project: Physlib

Person-level attribution pending.

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Project-declaredLean 4.32.0

Subset insert filter card zero inductive

SuperSymmetry.SU5.ChargeSpectrum.subset_insert_filter_card_zero_inductive

Project documentation

Given a collection of charges x in ofFinset S5 S10, the minimal charges y in ofFinset S5 S10 which are a super sets of x. -/ def minimalSuperSet (S5 S10 : Finset 𝓩) (x : ChargeSpectrum 𝓩) : Finset (ChargeSpectrum 𝓩) := let SqHd := if x.qHd.isSome then ∅ else S5.map ⟨fun y => ⟨some y, x.qHu, x.Q5, x.Q10⟩, by intro y1 y2; simp⟩ let SqHu := if x...

physicsquantum field theoryrelativity

Source project: Physlib

Person-level attribution pending.

View proof record