From 3c9e8424ad07bc3b29eedfbc371e28e9011aea6e Mon Sep 17 00:00:00 2001 From: Robbert Krebbers <mail@robbertkrebbers.nl> Date: Tue, 11 Feb 2020 17:28:08 +0100 Subject: [PATCH] Write `twp_ind` in a more sane way. --- theories/program_logic/total_weakestpre.v | 4 ++-- 1 file changed, 2 insertions(+), 2 deletions(-) diff --git a/theories/program_logic/total_weakestpre.v b/theories/program_logic/total_weakestpre.v index a08d64085..f2bbcae8c 100644 --- a/theories/program_logic/total_weakestpre.v +++ b/theories/program_logic/total_weakestpre.v @@ -77,8 +77,8 @@ Lemma twp_unfold s E e Φ : WP e @ s; E [{ Φ }] ⊣⊢ twp_pre s (twp s) E e Φ Proof. by rewrite twp_eq /twp_def least_fixpoint_unfold. Qed. Lemma twp_ind s Ψ : (∀ n E e, Proper (pointwise_relation _ (dist n) ==> dist n) (Ψ E e)) → - (□ (∀ e E Φ, twp_pre s (λ E e Φ, Ψ E e Φ ∧ WP e @ s; E [{ Φ }]) E e Φ -∗ Ψ E e Φ) → - ∀ e E Φ, WP e @ s; E [{ Φ }] -∗ Ψ E e Φ)%I. + □ (∀ e E Φ, twp_pre s (λ E e Φ, Ψ E e Φ ∧ WP e @ s; E [{ Φ }]) E e Φ -∗ Ψ E e Φ) -∗ + ∀ e E Φ, WP e @ s; E [{ Φ }] -∗ Ψ E e Φ. Proof. iIntros (HΨ). iIntros "#IH" (e E Φ) "H". rewrite twp_eq. set (Ψ' := curry3 Ψ : -- GitLab