Source-pinned research

Research proof index

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This index contains 9 research declarations. Search 10,000 more complete Mathlib declarations.

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Project-declaredLean 4.32.0

Eq sum eval T zero

TensorSpecies.Tensor.eq_sum_evalT_zero

Plain-language statement

Reconstruction of a tensor from the evaluations of its first index: every t : Tensor S c is the sum over basis indices i of the basis covector basis ![c 0] (single.symm i) tensored with the evaluation evalT 0 i t, with the prepended index permuted back into the first slot. This is the first-index analogue of eq_sum_evalT.

physicsquantum field theoryrelativity

Source project: Physlib

Person-level attribution pending.

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Project-declaredLean 4.32.0

Eval T perm T

TensorSpecies.Tensor.evalT_permT

Plain-language statement

Commuting evaluation with permutations.

physicsquantum field theoryrelativity

Source project: Physlib

Person-level attribution pending.

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Project-declaredLean 4.32.0

Eval T prod T right

TensorSpecies.Tensor.evalT_prodT_right

Plain-language statement

Evaluating an index in the right factor of a tensor product commutes with forming the product, up to the identity reindexing which identifies the two ways of removing that index from the appended color list.

physicsquantum field theoryrelativity

Source project: Physlib

Person-level attribution pending.

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