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Convert a Variables to two Admitted statements #54

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Sep 10, 2024
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Convert a Variables to two Admitted statements #54

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6 changes: 5 additions & 1 deletion 2017-12-Birmingham/Part5_Set_Level_Mathematics/set_level_mathematics_exercises.v
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Expand Up @@ -169,7 +169,7 @@

Lemma isweq_negb : isweq negb.
Proof.
use gradth.

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Notation gradth is deprecated. Use isweq_iso instead.

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Notation gradth is deprecated. Use isweq_iso instead.
- exact negb.
- intro x. induction x; apply idpath.
- intro x; induction x; apply idpath.
Expand Down Expand Up @@ -214,7 +214,11 @@
(* FILL IN THE DEFINITIONS OF istrans AND issymm *)
(* Definition istrans {X : UU} (R : hrel X) : UU := *)
(* Definition issymm {X : UU} (R : hrel X) : UU := *)
Variables istrans issymm: forall {X: UU}, hrel X -> UU. (* to be deleted *)

Definition istrans {X : UU} (R : hrel X) : UU.
Admitted.
Definition issymm {X : UU} (R : hrel X) : UU.
Admitted.

Definition ispreorder {X : UU} (R : hrel X) : UU := istrans R × isrefl R.

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