Source-pinned research
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 187 research declarations. Search 10,000 more complete Mathlib declarations.
187 results
Clear filtersstandParamAsMatrix_unitary
Plain-language statement
The standard parameterization forms a unitary matrix.
Source project: Physlib
Person-level attribution pending.
SuperSymmetry.SU5.ChargeSpectrum.minimallyAllowsTerm_iff_powerset_countP_eq_one
Project documentation
A collection of charges x : Charges is said to minimally allow the potential term T if it allows T and no strict subset of it allows T. -/ def MinimallyAllowsTerm (x : ChargeSpectrum 𝓩) (T : PotentialTerm) : Prop := ∀ y ∈ x.powerset, y = x ↔ y.AllowsTerm T /-! ### A.1. Decidability of MinimallyAllowsTerm We show that MinimallyAllowsTerm is de...
Source project: Physlib
Person-level attribution pending.
SuperSymmetry.SU5.ChargeSpectrum.minimallyAllowsTerm_iff_powerset_filter_eq
Project documentation
A collection of charges x : Charges is said to minimally allow the potential term T if it allows T and no strict subset of it allows T. -/ def MinimallyAllowsTerm (x : ChargeSpectrum 𝓩) (T : PotentialTerm) : Prop := ∀ y ∈ x.powerset, y = x ↔ y.AllowsTerm T /-! ### A.1. Decidability of MinimallyAllowsTerm We show that MinimallyAllowsTerm is de...
Source project: Physlib
Person-level attribution pending.
SuperSymmetry.SU5.ChargeSpectrum.subset_minimallyAllowsTerm_of_allowsTerm
Project documentation
A collection of charges x : Charges is said to minimally allow the potential term T if it allows T and no strict subset of it allows T. -/ def MinimallyAllowsTerm (x : ChargeSpectrum 𝓩) (T : PotentialTerm) : Prop := ∀ y ∈ x.powerset, y = x ↔ y.AllowsTerm T /-! ### A.1. Decidability of MinimallyAllowsTerm We show that MinimallyAllowsTerm is de...
Source project: Physlib
Person-level attribution pending.
SUSY.N1.deltaContr₂_metric
Plain-language statement
The contr_metric law (two-module): contracting the inner M/N legs of deltaCap b ⊗ deltaCap b' yields deltaCap₂ b' b.
Source project: Physlib
Person-level attribution pending.
SUSY.N1.deltaContr₂_unit
Plain-language statement
The snake identity (two-module, contr_unit law): contracting x ∈ M into the M-leg of deltaCap₂ b' b ∈ N ⊗ M returns x.
Source project: Physlib
Person-level attribution pending.