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Theorems · Theorem · logic and foundations

Turing.ListBlank.head_cons

∀ {Γ : Type u_1} [inst : Inhabited Γ] (a : Γ) (l : Turing.ListBlank Γ), (Turing.ListBlank.cons a l).head = a
Defined in
Mathlib.Computability.TuringMachine.Tape
Cited by
18 results in Mathlib
Foundations
Depth 73 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
Inhabited
Mathlib docsSourceLoogleLeanSearch

Around this declaration

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

Turing.ListBlank.map_cons · cited by 3ListBlank.map_consTuring.TM1to1.trTape'_move_left · cited by 3TM1to1.trTape'_move_leftTuring.Tape.move_left_mk' · cited by 3Tape.move_left_mk'Turing.Tape.move_right_left · cited by 3Tape.move_right_leftTuring.Tape.write_mk' · cited by 3Tape.write_mk'Turing.Tape.move_left_right · cited by 2Tape.move_left_rightTuring.TM2to1.addBottom_head_fst · cited by 2TM2to1.addBottom_head_fstTuring.TM1to1.trTape'_move_right · cited by 1TM1to1.trTape'_move_rightTuring.Tape.mk'_left_right₀ · cited by 1Tape.mk'_left_right₀Turing.ListBlank.nth_modifyNth · cited by 1ListBlank.nth_modifyNthTuring.Tape.move_left_nth · cited by 1Tape.move_left_nthTuring.TM2to1.addBottom_modifyNth · cited by 1TM2to1.addBottom_modifyNthTuring.Tape.right₀_nth · cited by 1Tape.right₀_nthTuring.Tape.write_move_right_n · cited by 1Tape.write_move_right_nTuring.TM2to1.tr_respects_aux₂ · cited by 1TM2to1.tr_respects_aux₂Turing.ListBlank · cited by 68Turing.ListBlankTuring.ListBlank.cons · cited by 31ListBlank.consTuring.ListBlank.head · cited by 27ListBlank.headQuotient.ind' · cited by 13Quotient.ind'Turing.BlankRel.setoid · cited by 2BlankRel.setoidListBlank.head_consCITED BYCITES

Cites5

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

Cited by18

Results whose statement or proof uses this declaration.