OAI/Combinatorics/HadwigerCounterexample/ResponseSolvability.lean
21 declarations, 0 contain sorry, 0 declared as axioms
Response Solvability
- abbrev
OAI.HadwigerCounterexample.Individualline 13 - abbrev
OAI.HadwigerCounterexample.OnFormsline 14 - abbrev
OAI.HadwigerCounterexample.ReqFline 15 - def
OAI.HadwigerCounterexample.combineFline 17 - theorem
OAI.HadwigerCounterexample.combineF_valline 26 - theorem
OAI.HadwigerCounterexample.combineF_singleline 30 - theorem
OAI.HadwigerCounterexample.combineF_sameline 37 - def
OAI.HadwigerCounterexample.obsPairline 47 - theorem
OAI.HadwigerCounterexample.obsPair_valline 50 - def
OAI.HadwigerCounterexample.eachFline 59Source documentation
Restrict pure form to individual diagonal blocks.
def eachF (p : Shape) {n} : PureForms p n →ₗ[F] Individual p n where …Mentions: OAI.HadwigerCounterexample.Shape, OAI.HadwigerCounterexample.PureForms, OAI.HadwigerCounterexample.F, OAI.HadwigerCounterexample.Individual
- def
OAI.HadwigerCounterexample.sumFline 66Source documentation
Extend the individual forms by zero outside respective blocks, then add.
def sumF (p : Shape) {n} : Individual p n → PureForms p n := …Mentions: OAI.HadwigerCounterexample.Shape, OAI.HadwigerCounterexample.Individual, OAI.HadwigerCounterexample.PureForms
- theorem
OAI.HadwigerCounterexample.each_sumFline 68 - def
OAI.HadwigerCounterexample.repFline 81 - theorem
OAI.HadwigerCounterexample.repF_repline 84 - theorem
OAI.HadwigerCounterexample.obsPair_eachline 89 - theorem
OAI.HadwigerCounterexample.obsPair_chanline 101 - theorem
OAI.HadwigerCounterexample.each_chan_valline 109 - theorem
OAI.HadwigerCounterexample.obsPair_chan_changeline 114 - theorem
OAI.HadwigerCounterexample.react_obsPairline 124 - def
OAI.HadwigerCounterexample.Volley.demandline 132 - theorem
OAI.HadwigerCounterexample.Volley.realize_linearline 135