OAI/Analysis/ModularTheory/AlgebraicNormalForm.lean
14 declarations, 0 contain sorry, 0 declared as axioms
Normal ordering of algebraic modular-core elements. The finite sums here are taken in the concrete regular representation.
- abbrev
OAI.WeakPureInfiniteness.translationline 17 - lemma
OAI.WeakPureInfiniteness.translation_addline 23 - lemma
OAI.WeakPureInfiniteness.translation_zeroline 30 - lemma
OAI.WeakPureInfiniteness.translation_starline 35 - lemma
OAI.WeakPureInfiniteness.translation_coefficientline 39 - def
OAI.WeakPureInfiniteness.modularCoreMonomialline 51 - def
OAI.WeakPureInfiniteness.normalSpanline 55 - lemma
OAI.WeakPureInfiniteness.monomial_oneline 58 - lemma
OAI.WeakPureInfiniteness.monomial_mulline 62 - lemma
OAI.WeakPureInfiniteness.monomial_starline 76 - lemma
OAI.WeakPureInfiniteness.normalSpan_mulline 84 - lemma
OAI.WeakPureInfiniteness.normalSpan_starline 104 - def
OAI.WeakPureInfiniteness.normalAlgebraline 120 - theorem
OAI.WeakPureInfiniteness.algebraicModularCore_normal_formline 132