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Commit b0d9c1a2 authored by Ralf Jung's avatar Ralf Jung
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simplify proof of step_fupd_mask_mono

parent 65c53d1d
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base_logic/lib/fancy_updates.v
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......@@ -217,11 +217,9 @@ Lemma step_fupd_mask_mono E1 E2 F1 F2 P :
F1 ⊆ F2 → E1 ⊆ E2 → (|={E1,F2}▷=> P) ⊢ |={E2,F1}▷=> P.
Proof.
iIntros (??) "HP".
iAssert (|={E2,E1}▷=> True)%I as "HE".
{ iApply fupd_mono. apply later_intro. by iApply fupd_intro_mask. }
iAssert (|={F2,F1}▷=> True)%I as "HF".
{ iApply fupd_mono. apply later_intro. by iApply fupd_intro_mask. }
iMod "HE". iMod "HP". iMod "HF". iModIntro. iNext. iMod "HF". iMod "HP". by iMod "HE".
iMod (fupd_intro_mask') as "HM1"; first fast_done. iMod "HP".
iMod (fupd_intro_mask') as "HM2"; first fast_done. iModIntro.
iNext. iMod "HM2". iMod "HP". iMod "HM1". done.
Qed.
End step_fupd.
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