formula₁ — Mathlib

English

Composition of language homomorphisms respects term translation: applying the composed onTerm is the same as composing the onTerm maps.

Русский

Композиция функций гомоморфизмов языка сохраняется на термах: применение композиции onTerm равно композиции применений наTerm.

LaTeX

$$$((\\phi.\\comp \\psi).onTerm)(t) = (\\phi.onTerm)\\circ(\\psi.onTerm)(t)$$$

Lean4

/-- Applies a unary relation to a term as a formula. -/
def formula₁ (r : L.Relations 1) (t : L.Term α) : L.Formula α :=
  r.formula ![t]

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