Mathlib Map

Theorems · Theorem · logic and foundations

Relation.TransGen.head

∀ {α : Type u_1} {r : α → α → Prop} {a b c : α}, r a b → Relation.TransGen r b c → Relation.TransGen r a c
Defined in
Mathlib.Logic.Relation
Cited by
16 results in Mathlib
Foundations
Depth 5 from the axioms · uses no axioms
Mathlib docsSourceLoogleLeanSearch

Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

Turing.PartrecToTM2.move_ok · cited by 5PartrecToTM2.move_okTuring.PartrecToTM2.clear_ok · cited by 4PartrecToTM2.clear_okTuring.PartrecToTM2.trNormal_respects · cited by 2PartrecToTM2.trNormal_res…StateTransition.Reaches₀.single · cited by 2Reaches₀.singleTuring.PartrecToTM2.move₂_ok · cited by 1PartrecToTM2.move₂_okTuring.PartrecToTM2.pred_ok · cited by 1PartrecToTM2.pred_okRelation.TransGen.swap · cited by 1TransGen.swapTuring.PartrecToTM2.succ_ok · cited by 1PartrecToTM2.succ_okTuring.PartrecToTM2.copy_ok · cited by 1PartrecToTM2.copy_okTuring.TM1to0.tr_respects · cited by 1TM1to0.tr_respectsTuring.PartrecToTM2.head_main_ok · cited by 1PartrecToTM2.head_main_okTuring.PartrecToTM2.head_stack_ok · cited by 1PartrecToTM2.head_stack_okTuring.PartrecToTM2.tr_ret_respects · cited by 1PartrecToTM2.tr_ret_respe…Relation.TransGen.head_induction_on · cited by 1TransGen.head_induction_onTuring.TM0to1.tr_respects · cited by 0TM0to1.tr_respectsRelation.TransGen.head' · cited by 8TransGen.head'Relation.TransGen.to_reflTransGen · cited by 8TransGen.to_reflTransGenTransGen.headCITED BYCITES

Cites2

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by16

Results whose statement or proof uses this declaration.